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Finding the Fourth Proportional to 22,771, 34,162.26 and 6,355

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Solution

The fourth proportional to 22,771, 34,162.26 and 6,355 is: 9,534.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,771 : 34,162.26 = 6,355 : x
  2. Step 2: Convert to fraction form
    22,771/34,162.26 = 6,355/x
  3. Step 3: Cross multiply
    22,771x = 34,162.26 × 6,355
  4. Step 4: Simplify right side
    22,771x = 217,101,162.30
  5. Step 5: Solve for x
    x = 217,101,162.30/22,771
  6. Step 6: Final answer
    x = 9,534.11

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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.