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Question
jimmy is making a b - 17g flying fortress model airplane that is to scale. the wingspan on the model plane is 17 inches. the actual airplane has a wingspan of 1,224 feet. the length of jimmys model plane is 12 inches. what is the actual length of the airplane? show your work. (7.g.1) (2 pts) (2 points) b i u a 2 0 / 10000 word limit item 13 item 12 item 11 item 10 item 9 item 8 item 7 item 6
Step1: Set up the proportion
Let \(x\) be the actual length of the airplane. The ratio of model length to actual length is the same for both the wingspan and the length. So, \(\frac{12}{x}=\frac{17}{1224}\)
Step2: Cross - multiply
Cross - multiplying gives \(17x = 12\times1224\)
Step3: Solve for \(x\)
First, calculate \(12\times1224 = 14688\). Then \(x=\frac{14688}{17}\)
\(x = 864\)
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The actual length of the airplane is \(864\) feet.