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Finding the Fourth Proportional to 22,663.70, 34,007.70 and 9,517.40

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Solution

The fourth proportional to 22,663.70, 34,007.70 and 9,517.40 is: 14,281.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,663.70 : 34,007.70 = 9,517.40 : x
  2. Step 2: Convert to fraction form
    22,663.70/34,007.70 = 9,517.40/x
  3. Step 3: Cross multiply
    22,663.70x = 34,007.70 × 9,517.40
  4. Step 4: Simplify right side
    22,663.70x = 323,664,883.98
  5. Step 5: Solve for x
    x = 323,664,883.98/22,663.70
  6. Step 6: Final answer
    x = 14,281.20

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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.