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Finding the Fourth Proportional to 22,906.70, 34,347.90 and 8,116.10

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Solution

The fourth proportional to 22,906.70, 34,347.90 and 8,116.10 is: 12,169.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,906.70 : 34,347.90 = 8,116.10 : x
  2. Step 2: Convert to fraction form
    22,906.70/34,347.90 = 8,116.10/x
  3. Step 3: Cross multiply
    22,906.70x = 34,347.90 × 8,116.10
  4. Step 4: Simplify right side
    22,906.70x = 278,770,991.19
  5. Step 5: Solve for x
    x = 278,770,991.19/22,906.70
  6. Step 6: Final answer
    x = 12,169.85

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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.