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Finding the Fourth Proportional to 6,458.10, 9,687.76 and 2,562

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Solution

The fourth proportional to 6,458.10, 9,687.76 and 2,562 is: 3,843.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,458.10 : 9,687.76 = 2,562 : x
  2. Step 2: Convert to fraction form
    6,458.10/9,687.76 = 2,562/x
  3. Step 3: Cross multiply
    6,458.10x = 9,687.76 × 2,562
  4. Step 4: Simplify right side
    6,458.10x = 24,820,034.72
  5. Step 5: Solve for x
    x = 24,820,034.72/6,458.10
  6. Step 6: Final answer
    x = 3,843.24

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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.