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Finding the Fourth Proportional to 6,372, 9,562.84 and 2,474.24

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Solution

The fourth proportional to 6,372, 9,562.84 and 2,474.24 is: 3,713.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,372 : 9,562.84 = 2,474.24 : x
  2. Step 2: Convert to fraction form
    6,372/9,562.84 = 2,474.24/x
  3. Step 3: Cross multiply
    6,372x = 9,562.84 × 2,474.24
  4. Step 4: Simplify right side
    6,372x = 23,660,761.24
  5. Step 5: Solve for x
    x = 23,660,761.24/6,372
  6. Step 6: Final answer
    x = 3,713.24

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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.