A photograph is 4.5 in. wide and 6 in. long. A yearbook editor has the photo reduced to fit a space of 1.9 in wide. How long is the reduced photo?
4.5/1.9 = 6/x
Cross multiply and solve for x.
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To find the length of the reduced photo, we can use a proportion.
First, let's set up the proportion using the given measurements:
Original Width / Original Length = Reduced Width / Reduced Length
In this case, the original width is 4.5 inches, the original length is 6 inches, and the reduced width is 1.9 inches. We need to find the reduced length.
So the proportion becomes:
4.5 / 6 = 1.9 / Reduced Length
Now, to solve for the reduced length, we can cross-multiply and then solve for the unknown:
4.5 * Reduced Length = 6 * 1.9
4.5 * Reduced Length = 11.4
Next, divide both sides of the equation by 4.5 to isolate the variable:
Reduced Length = 11.4 / 4.5
Reduced Length ≈ 2.53 inches
Therefore, the reduced photo has a length of approximately 2.53 inches.