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Finding the Fourth Proportional to 22,514, 33,771 and 6,098

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Solution

The fourth proportional to 22,514, 33,771 and 6,098 is: 9,147

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,514 : 33,771 = 6,098 : x
  2. Step 2: Convert to fraction form
    22,514/33,771 = 6,098/x
  3. Step 3: Cross multiply
    22,514x = 33,771 × 6,098
  4. Step 4: Simplify right side
    22,514x = 205,935,558
  5. Step 5: Solve for x
    x = 205,935,558/22,514
  6. Step 6: Final answer
    x = 9,147

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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.