The spring will be stretched 18.2 inches by force of 26 pounds.
Step-by-step explanation:
7 pound stretches the spring = 4.9 inches
Ratio of force to spring = 7:4.9
New force = 26 pounds
Spring stretched = x
Ratio of new force to spring = 26:x
Using proportion;
Ratio of force to spring :: Ratio of new force to spring
![7:4.9::26:x\\](https://tex.z-dn.net/?f=7%3A4.9%3A%3A26%3Ax%5C%5C)
Product of mean = Product of extreme
![4.9*26=7*x\\127.4=7x\\7x=127.4\\](https://tex.z-dn.net/?f=4.9%2A26%3D7%2Ax%5C%5C127.4%3D7x%5C%5C7x%3D127.4%5C%5C)
Dividing both sides by 7
![\frac{7x}{7}=\frac{127.4}{7}\\x=18.2\\](https://tex.z-dn.net/?f=%5Cfrac%7B7x%7D%7B7%7D%3D%5Cfrac%7B127.4%7D%7B7%7D%5C%5Cx%3D18.2%5C%5C)
The spring will be stretched 18.2 inches by force of 26 pounds.
Keywords: ratio, proportion
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