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Finding the Fourth Proportional to 10,198.64, 15,296.14 and 6,489.86

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Solution

The fourth proportional to 10,198.64, 15,296.14 and 6,489.86 is: 9,733.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,198.64 : 15,296.14 = 6,489.86 : x
  2. Step 2: Convert to fraction form
    10,198.64/15,296.14 = 6,489.86/x
  3. Step 3: Cross multiply
    10,198.64x = 15,296.14 × 6,489.86
  4. Step 4: Simplify right side
    10,198.64x = 99,269,807.14
  5. Step 5: Solve for x
    x = 99,269,807.14/10,198.64
  6. Step 6: Final answer
    x = 9,733.63

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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.