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Finding the Fourth Proportional to 27,654, 41,481 and 9,186

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Solution

The fourth proportional to 27,654, 41,481 and 9,186 is: 13,779

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,654 : 41,481 = 9,186 : x
  2. Step 2: Convert to fraction form
    27,654/41,481 = 9,186/x
  3. Step 3: Cross multiply
    27,654x = 41,481 × 9,186
  4. Step 4: Simplify right side
    27,654x = 381,044,466
  5. Step 5: Solve for x
    x = 381,044,466/27,654
  6. Step 6: Final answer
    x = 13,779

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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.