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Finding the Fourth Proportional to 22,782, 34,173 and 6,366

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Solution

The fourth proportional to 22,782, 34,173 and 6,366 is: 9,549

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,782 : 34,173 = 6,366 : x
  2. Step 2: Convert to fraction form
    22,782/34,173 = 6,366/x
  3. Step 3: Cross multiply
    22,782x = 34,173 × 6,366
  4. Step 4: Simplify right side
    22,782x = 217,545,318
  5. Step 5: Solve for x
    x = 217,545,318/22,782
  6. Step 6: Final answer
    x = 9,549

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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.