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Finding the Fourth Proportional to 7,055.26, 9,736.86 and 4,071.22

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Solution

The fourth proportional to 7,055.26, 9,736.86 and 4,071.22 is: 5,618.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,055.26 : 9,736.86 = 4,071.22 : x
  2. Step 2: Convert to fraction form
    7,055.26/9,736.86 = 4,071.22/x
  3. Step 3: Cross multiply
    7,055.26x = 9,736.86 × 4,071.22
  4. Step 4: Simplify right side
    7,055.26x = 39,640,899.17
  5. Step 5: Solve for x
    x = 39,640,899.17/7,055.26
  6. Step 6: Final answer
    x = 5,618.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.