To find the value of x, set up a proportion using the given information and then solve for x by cross multiplying and dividing.
To find the value of x, we can set up a proportion using the given information. The first ratio is 0.5 inches to 75 miles, and the second ratio is 3 inches to x miles. We can write this as:
0.5 inches / 75 miles = 3 inches / x miles
To solve for x, we can cross multiply and then divide to isolate x. Multiplying across gives us:
0.5 inches * x miles = 3 inches * 75 miles
Dividing both sides by 0.5 inches gives us:
x miles = (3 inches * 75 miles) / 0.5 inches