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Finding the Fourth Proportional to 22,834.28, 34,227.90 and 10,970.24

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Solution

The fourth proportional to 22,834.28, 34,227.90 and 10,970.24 is: 16,444.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,834.28 : 34,227.90 = 10,970.24 : x
  2. Step 2: Convert to fraction form
    22,834.28/34,227.90 = 10,970.24/x
  3. Step 3: Cross multiply
    22,834.28x = 34,227.90 × 10,970.24
  4. Step 4: Simplify right side
    22,834.28x = 375,488,277.70
  5. Step 5: Solve for x
    x = 375,488,277.70/22,834.28
  6. Step 6: Final answer
    x = 16,444.06

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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.