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Finding the Fourth Proportional to 6,385.86, 9,558.99 and 3,456.90

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Solution

The fourth proportional to 6,385.86, 9,558.99 and 3,456.90 is: 5,174.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,385.86 : 9,558.99 = 3,456.90 : x
  2. Step 2: Convert to fraction form
    6,385.86/9,558.99 = 3,456.90/x
  3. Step 3: Cross multiply
    6,385.86x = 9,558.99 × 3,456.90
  4. Step 4: Simplify right side
    6,385.86x = 33,044,472.53
  5. Step 5: Solve for x
    x = 33,044,472.53/6,385.86
  6. Step 6: Final answer
    x = 5,174.63

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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.