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Finding the Fourth Proportional to 22,182, 33,273 and 5,766

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Solution

The fourth proportional to 22,182, 33,273 and 5,766 is: 8,649

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,182 : 33,273 = 5,766 : x
  2. Step 2: Convert to fraction form
    22,182/33,273 = 5,766/x
  3. Step 3: Cross multiply
    22,182x = 33,273 × 5,766
  4. Step 4: Simplify right side
    22,182x = 191,852,118
  5. Step 5: Solve for x
    x = 191,852,118/22,182
  6. Step 6: Final answer
    x = 8,649

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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.