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Finding the Fourth Proportional to 6,589.28, 9,092.97 and 3,935.12

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Solution

The fourth proportional to 6,589.28, 9,092.97 and 3,935.12 is: 5,430.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,589.28 : 9,092.97 = 3,935.12 : x
  2. Step 2: Convert to fraction form
    6,589.28/9,092.97 = 3,935.12/x
  3. Step 3: Cross multiply
    6,589.28x = 9,092.97 × 3,935.12
  4. Step 4: Simplify right side
    6,589.28x = 35,781,882.64
  5. Step 5: Solve for x
    x = 35,781,882.64/6,589.28
  6. Step 6: Final answer
    x = 5,430.32

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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.