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Finding the Fourth Proportional to 13,523, 20,287.06 and 6,227

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Solution

The fourth proportional to 13,523, 20,287.06 and 6,227 is: 9,341.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,523 : 20,287.06 = 6,227 : x
  2. Step 2: Convert to fraction form
    13,523/20,287.06 = 6,227/x
  3. Step 3: Cross multiply
    13,523x = 20,287.06 × 6,227
  4. Step 4: Simplify right side
    13,523x = 126,327,522.62
  5. Step 5: Solve for x
    x = 126,327,522.62/13,523
  6. Step 6: Final answer
    x = 9,341.68

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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.