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Finding the Fourth Proportional to 6,376.98, 9,569.52 and 2,481.42

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Solution

The fourth proportional to 6,376.98, 9,569.52 and 2,481.42 is: 3,723.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,376.98 : 9,569.52 = 2,481.42 : x
  2. Step 2: Convert to fraction form
    6,376.98/9,569.52 = 2,481.42/x
  3. Step 3: Cross multiply
    6,376.98x = 9,569.52 × 2,481.42
  4. Step 4: Simplify right side
    6,376.98x = 23,745,998.32
  5. Step 5: Solve for x
    x = 23,745,998.32/6,376.98
  6. Step 6: Final answer
    x = 3,723.71

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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.