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Finding the Fourth Proportional to 6,498.08, 9,745.68 and 2,601.44

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Solution

The fourth proportional to 6,498.08, 9,745.68 and 2,601.44 is: 3,901.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,498.08 : 9,745.68 = 2,601.44 : x
  2. Step 2: Convert to fraction form
    6,498.08/9,745.68 = 2,601.44/x
  3. Step 3: Cross multiply
    6,498.08x = 9,745.68 × 2,601.44
  4. Step 4: Simplify right side
    6,498.08x = 25,352,801.78
  5. Step 5: Solve for x
    x = 25,352,801.78/6,498.08
  6. Step 6: Final answer
    x = 3,901.58

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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.