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Finding the Fourth Proportional to 22,891.22, 34,309.10 and 9,715.92

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Solution

The fourth proportional to 22,891.22, 34,309.10 and 9,715.92 is: 14,562.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,891.22 : 34,309.10 = 9,715.92 : x
  2. Step 2: Convert to fraction form
    22,891.22/34,309.10 = 9,715.92/x
  3. Step 3: Cross multiply
    22,891.22x = 34,309.10 × 9,715.92
  4. Step 4: Simplify right side
    22,891.22x = 333,344,422.29
  5. Step 5: Solve for x
    x = 333,344,422.29/22,891.22
  6. Step 6: Final answer
    x = 14,562.11

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.