Calculating the distance between the clusters

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To calculate the distance to star cluster 1, the flux from blue star 1 is used as a reference point, with a measured flux of 9.6×10−9 Wm−2 at 1.36 parsecs. The similar color star in cluster 1 has a significantly lower flux of 9.5×10−21 Wm−2. The discussion highlights that flux decreases with the square of the distance, following the formula \(\frac{1}{r^2}\). By comparing the flux values, participants are encouraged to determine the ratio of the distances based on the change in flux. Ultimately, this approach will lead to calculating the distance to star cluster 1 in Mega-parsecs.
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Blue star 1 is 1.36 parsecs from you, and has a measured flux of 9.6×10−9Wm−2.

The similar colour star in star cluster 1 has a measured flux of 9.5×10−21Wm−2.

How far away (in Mega-parsecs) is star cluster 1?

Can anyone tell me how to start off? I'll do the rest
 
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The flux falls off proportional to \frac{1}{r^2}. Is this enough of a hint?
 
a little bit more please
 
Suppose I said the flux from a light bulb 1 meter away is I_0 Then I move the light bulb until the flux is \frac{I_0}{4}. How far away is the light bulb now?
 
phyzguy said:
Suppose I said the flux from a light bulb 1 meter away is I_0 Then I move the light bulb until the flux is \frac{I_0}{4}. How far away is the light bulb now?
2 m?
 
OK, good. Now apply this same logic to the stars. By what ratio has the flux decreased? So what is the ratio of the distances?
 

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