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Finding the Fourth Proportional to 6,834, 10,251.24 and 3,910.96

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Solution

The fourth proportional to 6,834, 10,251.24 and 3,910.96 is: 5,866.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,834 : 10,251.24 = 3,910.96 : x
  2. Step 2: Convert to fraction form
    6,834/10,251.24 = 3,910.96/x
  3. Step 3: Cross multiply
    6,834x = 10,251.24 × 3,910.96
  4. Step 4: Simplify right side
    6,834x = 40,092,189.59
  5. Step 5: Solve for x
    x = 40,092,189.59/6,834
  6. Step 6: Final answer
    x = 5,866.58

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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.