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Finding the Fourth Proportional to 6,474.82, 9,714.81 and 2,581.96

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Solution

The fourth proportional to 6,474.82, 9,714.81 and 2,581.96 is: 3,873.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,474.82 : 9,714.81 = 2,581.96 : x
  2. Step 2: Convert to fraction form
    6,474.82/9,714.81 = 2,581.96/x
  3. Step 3: Cross multiply
    6,474.82x = 9,714.81 × 2,581.96
  4. Step 4: Simplify right side
    6,474.82x = 25,083,250.83
  5. Step 5: Solve for x
    x = 25,083,250.83/6,474.82
  6. Step 6: Final answer
    x = 3,873.97

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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.