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Finding the Fourth Proportional to 6,498.42, 9,745.38 and 2,115.06

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Solution

The fourth proportional to 6,498.42, 9,745.38 and 2,115.06 is: 3,171.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,498.42 : 9,745.38 = 2,115.06 : x
  2. Step 2: Convert to fraction form
    6,498.42/9,745.38 = 2,115.06/x
  3. Step 3: Cross multiply
    6,498.42x = 9,745.38 × 2,115.06
  4. Step 4: Simplify right side
    6,498.42x = 20,612,063.42
  5. Step 5: Solve for x
    x = 20,612,063.42/6,498.42
  6. Step 6: Final answer
    x = 3,171.86

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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.