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The weight, w, in kg of an object is inversely proportional to the square of the distance, r, in km, from the center of the earth. Assume a stone of the ground has weight 100 kg and that the diameter of the earth is approximately 12,756 km. What is the formula of w in terms of r?

I said w=k/r^2 but the question was multiple choice and I wasn't entirely sure so i chose the answer:

w=(100*12756^2)/r^2

but the right answer was

w= (25*12756^2)/r^2