Solve proportion equations and explain why the setup matches the context.
Validate a proportion setup
Problem
A map scale problem gives \(4/60~=~10/x\), using centimeters/kilometers on \(\text{both}~\text{sides}\). Solve for \(x\).
Big Picture
What this problem is really about
The setup keeps map centimeters over actual kilometers on both sides, so corresponding quantities are aligned before solving. We’ll set the diagonal products equal, divide by the coefficient on x, and retain kilometers because x represents real distance. Reducing both scale ratios afterward will verify both the setup and the computed distance.
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