A copy was made of a photograph. The copy resized the photograph so that is measured 4 inches wide by 6 inches long. If the actual photograph is 24 inches wide, what is its length?
We can use proportions to solve this problem.
Let x be the length of the actual photograph.
We know that the copy is 4 inches wide by 6 inches long, so the ratio of width to length is 4/6 or 2/3.
We also know that the actual photograph is 24 inches wide, so the ratio of width to length is 24/x or 24x.
Setting these two ratios equal to each other, we get:
2/3 = 24/x
To solve for x, we can cross-multiply:
2x = 72
x = 36
Therefore, the length of the actual photograph is 36 inches.