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Finding the Fourth Proportional to 6,498.44, 9,745.36 and 2,115.08

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Solution

The fourth proportional to 6,498.44, 9,745.36 and 2,115.08 is: 3,171.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,498.44 : 9,745.36 = 2,115.08 : x
  2. Step 2: Convert to fraction form
    6,498.44/9,745.36 = 2,115.08/x
  3. Step 3: Cross multiply
    6,498.44x = 9,745.36 × 2,115.08
  4. Step 4: Simplify right side
    6,498.44x = 20,612,216.03
  5. Step 5: Solve for x
    x = 20,612,216.03/6,498.44
  6. Step 6: Final answer
    x = 3,171.87

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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.