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Finding the Fourth Proportional to 22,731.50, 34,096.88 and 7,149.13

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Solution

The fourth proportional to 22,731.50, 34,096.88 and 7,149.13 is: 10,723.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,731.50 : 34,096.88 = 7,149.13 : x
  2. Step 2: Convert to fraction form
    22,731.50/34,096.88 = 7,149.13/x
  3. Step 3: Cross multiply
    22,731.50x = 34,096.88 × 7,149.13
  4. Step 4: Simplify right side
    22,731.50x = 243,762,960.35
  5. Step 5: Solve for x
    x = 243,762,960.35/22,731.50
  6. Step 6: Final answer
    x = 10,723.57

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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.