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Finding the Fourth Proportional to 6,641.96, 9,964.64 and 2,481.99

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Solution

The fourth proportional to 6,641.96, 9,964.64 and 2,481.99 is: 3,723.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,641.96 : 9,964.64 = 2,481.99 : x
  2. Step 2: Convert to fraction form
    6,641.96/9,964.64 = 2,481.99/x
  3. Step 3: Cross multiply
    6,641.96x = 9,964.64 × 2,481.99
  4. Step 4: Simplify right side
    6,641.96x = 24,732,143.04
  5. Step 5: Solve for x
    x = 24,732,143.04/6,641.96
  6. Step 6: Final answer
    x = 3,723.62

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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.