Map Scale Problem: 13 Inches = 15 Miles → 3.23 Inches = ? Miles

This is a simple proportion problem. Let's solve it step by step.

Given

• Map scale: 13 inches = 15 miles
• Map distance between towns: 3.23 inches

Set Up Proportion

\\[ \\frac{13 \\text{ inches}}{15 \\text{ miles}} = \\frac{3.23 \\text{ inches}}{x \\text{ miles}} \\]

Solve for x

\\[ x = \\frac{3.23 \\times 15}{13} = \\frac{48.45}{13} \\approx 3.7269 \\text{ miles} \\]

Answer

The actual distance between the two towns is approximately 3.73 miles (or 3.7 miles rounded).

Check

13 inches → 15 miles means 1 inch → 15/13 ≈ 1.1538 miles.
3.23 inches × 1.1538 ≈ 3.727 miles. ✓

Note: The original source calculation (10.17 miles) appears to have inverted the proportion.