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Finding the Fourth Proportional to 13,834, 20,751 and 4,481.86

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Solution

The fourth proportional to 13,834, 20,751 and 4,481.86 is: 6,722.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,834 : 20,751 = 4,481.86 : x
  2. Step 2: Convert to fraction form
    13,834/20,751 = 4,481.86/x
  3. Step 3: Cross multiply
    13,834x = 20,751 × 4,481.86
  4. Step 4: Simplify right side
    13,834x = 93,003,076.86
  5. Step 5: Solve for x
    x = 93,003,076.86/13,834
  6. Step 6: Final answer
    x = 6,722.79

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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.