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Finding the Fourth Proportional to 6,711.24, 10,067.64 and 3,246

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Solution

The fourth proportional to 6,711.24, 10,067.64 and 3,246 is: 4,869.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,711.24 : 10,067.64 = 3,246 : x
  2. Step 2: Convert to fraction form
    6,711.24/10,067.64 = 3,246/x
  3. Step 3: Cross multiply
    6,711.24x = 10,067.64 × 3,246
  4. Step 4: Simplify right side
    6,711.24x = 32,679,559.44
  5. Step 5: Solve for x
    x = 32,679,559.44/6,711.24
  6. Step 6: Final answer
    x = 4,869.38

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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.