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Finding the Fourth Proportional to 22,812.70, 34,206.90 and 9,650.20

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Solution

The fourth proportional to 22,812.70, 34,206.90 and 9,650.20 is: 14,470.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,812.70 : 34,206.90 = 9,650.20 : x
  2. Step 2: Convert to fraction form
    22,812.70/34,206.90 = 9,650.20/x
  3. Step 3: Cross multiply
    22,812.70x = 34,206.90 × 9,650.20
  4. Step 4: Simplify right side
    22,812.70x = 330,103,426.38
  5. Step 5: Solve for x
    x = 330,103,426.38/22,812.70
  6. Step 6: Final answer
    x = 14,470.16

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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.