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Finding the Fourth Proportional to 6,497.69, 9,745.58 and 2,114.64

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Solution

The fourth proportional to 6,497.69, 9,745.58 and 2,114.64 is: 3,171.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,497.69 : 9,745.58 = 2,114.64 : x
  2. Step 2: Convert to fraction form
    6,497.69/9,745.58 = 2,114.64/x
  3. Step 3: Cross multiply
    6,497.69x = 9,745.58 × 2,114.64
  4. Step 4: Simplify right side
    6,497.69x = 20,608,398.58
  5. Step 5: Solve for x
    x = 20,608,398.58/6,497.69
  6. Step 6: Final answer
    x = 3,171.65

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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.