Let x be the actual distance between the towns. We can set up a proportion to solve for x:
13 inches / 3.23 inches = 15 miles / x
Simplifying the proportion, we get:
15 miles / x = 4.64 (dividing both sides by 13)
To find x, we cross-multiply:
15 miles * 3.23 inches = x * 4.64
Solving for x, we get:
x = (15 miles * 3.23 inches) / 4.64
Calculating the value of x:
x ≈ 10.17 miles
Therefore, the actual distance between the two towns on the map is approximately 10.17 miles.