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Finding the Fourth Proportional to 6,134.62, 8,456.38 and 4,805.96

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Solution

The fourth proportional to 6,134.62, 8,456.38 and 4,805.96 is: 6,624.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,134.62 : 8,456.38 = 4,805.96 : x
  2. Step 2: Convert to fraction form
    6,134.62/8,456.38 = 4,805.96/x
  3. Step 3: Cross multiply
    6,134.62x = 8,456.38 × 4,805.96
  4. Step 4: Simplify right side
    6,134.62x = 40,641,024.02
  5. Step 5: Solve for x
    x = 40,641,024.02/6,134.62
  6. Step 6: Final answer
    x = 6,624.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.