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Finding the Fourth Proportional to 22,964.10, 34,446.15 and 9,817.80

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Solution

The fourth proportional to 22,964.10, 34,446.15 and 9,817.80 is: 14,726.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,964.10 : 34,446.15 = 9,817.80 : x
  2. Step 2: Convert to fraction form
    22,964.10/34,446.15 = 9,817.80/x
  3. Step 3: Cross multiply
    22,964.10x = 34,446.15 × 9,817.80
  4. Step 4: Simplify right side
    22,964.10x = 338,185,411.47
  5. Step 5: Solve for x
    x = 338,185,411.47/22,964.10
  6. Step 6: Final answer
    x = 14,726.70

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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.