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Finding the Fourth Proportional to 27,656, 41,484 and 9,188

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Solution

The fourth proportional to 27,656, 41,484 and 9,188 is: 13,782

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,656 : 41,484 = 9,188 : x
  2. Step 2: Convert to fraction form
    27,656/41,484 = 9,188/x
  3. Step 3: Cross multiply
    27,656x = 41,484 × 9,188
  4. Step 4: Simplify right side
    27,656x = 381,154,992
  5. Step 5: Solve for x
    x = 381,154,992/27,656
  6. Step 6: Final answer
    x = 13,782

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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.