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Finding the Fourth Proportional to 7,201.08, 9,937.62 and 4,057.38

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Solution

The fourth proportional to 7,201.08, 9,937.62 and 4,057.38 is: 5,599.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,201.08 : 9,937.62 = 4,057.38 : x
  2. Step 2: Convert to fraction form
    7,201.08/9,937.62 = 4,057.38/x
  3. Step 3: Cross multiply
    7,201.08x = 9,937.62 × 4,057.38
  4. Step 4: Simplify right side
    7,201.08x = 40,320,700.64
  5. Step 5: Solve for x
    x = 40,320,700.64/7,201.08
  6. Step 6: Final answer
    x = 5,599.26

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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.