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Finding the Fourth Proportional to 6,460.68, 9,694.32 and 2,567.88

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Solution

The fourth proportional to 6,460.68, 9,694.32 and 2,567.88 is: 3,853.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,460.68 : 9,694.32 = 2,567.88 : x
  2. Step 2: Convert to fraction form
    6,460.68/9,694.32 = 2,567.88/x
  3. Step 3: Cross multiply
    6,460.68x = 9,694.32 × 2,567.88
  4. Step 4: Simplify right side
    6,460.68x = 24,893,850.44
  5. Step 5: Solve for x
    x = 24,893,850.44/6,460.68
  6. Step 6: Final answer
    x = 3,853.13

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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.