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Finding the Fourth Proportional to 8,469, 11,687.22 and 4,743

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Solution

The fourth proportional to 8,469, 11,687.22 and 4,743 is: 6,545.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,469 : 11,687.22 = 4,743 : x
  2. Step 2: Convert to fraction form
    8,469/11,687.22 = 4,743/x
  3. Step 3: Cross multiply
    8,469x = 11,687.22 × 4,743
  4. Step 4: Simplify right side
    8,469x = 55,432,484.46
  5. Step 5: Solve for x
    x = 55,432,484.46/8,469
  6. Step 6: Final answer
    x = 6,545.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.