The maximum weight that a rectangular beam can support varies jointly as its width and the square of its height and inversely as its length. If a beam

one third13

foot​ wide,

one half12

foot​ high, and

1919

feet long can support

1010

​tons, find how much a similar beam can support if the beam is

one third13

foot​ wide,

one third13

foot​ high, and

1111

feet long.  

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Part 1

The maximum weight is

enter your response here

tons. ​(Round to one decimal place as​ needed.)