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Finding the Fourth Proportional to 6,198.31, 9,299.49 and 2,498.64

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Solution

The fourth proportional to 6,198.31, 9,299.49 and 2,498.64 is: 3,748.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,198.31 : 9,299.49 = 2,498.64 : x
  2. Step 2: Convert to fraction form
    6,198.31/9,299.49 = 2,498.64/x
  3. Step 3: Cross multiply
    6,198.31x = 9,299.49 × 2,498.64
  4. Step 4: Simplify right side
    6,198.31x = 23,236,031.20
  5. Step 5: Solve for x
    x = 23,236,031.20/6,198.31
  6. Step 6: Final answer
    x = 3,748.77

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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.