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Finding the Fourth Proportional to 6,499.13, 9,750.96 and 2,057.48

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Solution

The fourth proportional to 6,499.13, 9,750.96 and 2,057.48 is: 3,086.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,499.13 : 9,750.96 = 2,057.48 : x
  2. Step 2: Convert to fraction form
    6,499.13/9,750.96 = 2,057.48/x
  3. Step 3: Cross multiply
    6,499.13x = 9,750.96 × 2,057.48
  4. Step 4: Simplify right side
    6,499.13x = 20,062,405.18
  5. Step 5: Solve for x
    x = 20,062,405.18/6,499.13
  6. Step 6: Final answer
    x = 3,086.94

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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.