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Finding the Fourth Proportional to 6,531.64, 9,798.90 and 3,067

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Solution

The fourth proportional to 6,531.64, 9,798.90 and 3,067 is: 4,601.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,531.64 : 9,798.90 = 3,067 : x
  2. Step 2: Convert to fraction form
    6,531.64/9,798.90 = 3,067/x
  3. Step 3: Cross multiply
    6,531.64x = 9,798.90 × 3,067
  4. Step 4: Simplify right side
    6,531.64x = 30,053,226.30
  5. Step 5: Solve for x
    x = 30,053,226.30/6,531.64
  6. Step 6: Final answer
    x = 4,601.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.