What Is Neptune's Scaled Radius in a Scaled Solar System?

AI Thread Summary
In a scaled solar system where Earth's radius is represented as 12.75 cm for its actual radius of 6,375 km, the scaled radius of Neptune, which has a radius of 24,766 km, is calculated. The formula used involves proportionality between the scaled and actual radii. The calculation yields a scaled radius for Neptune of approximately 49.532 cm. The solution is confirmed as correct, providing reassurance to the individual seeking help. This discussion highlights the importance of understanding scaling in astronomical contexts.
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Homework Statement


In a scaled solar system: Earth's radius is 6,375 km, it's scaled radius is 12.75 cm. Neptune has a radius of 24,766 km; using centimeters, what would the scaled radius of Neptune be??


Homework Equations


I'm not sure what to put here; I put down what I tried below.


The Attempt at a Solution



12.75 cm
________ ... = ... ______________
637,500,000 cm ..... 2,476,600,000 cm

x= 49.532 cm


Did I do this right??
 
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