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Finding the Fourth Proportional to 6,099.06, 9,149.10 and 1,716.56

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Solution

The fourth proportional to 6,099.06, 9,149.10 and 1,716.56 is: 2,574.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,099.06 : 9,149.10 = 1,716.56 : x
  2. Step 2: Convert to fraction form
    6,099.06/9,149.10 = 1,716.56/x
  3. Step 3: Cross multiply
    6,099.06x = 9,149.10 × 1,716.56
  4. Step 4: Simplify right side
    6,099.06x = 15,704,979.10
  5. Step 5: Solve for x
    x = 15,704,979.10/6,099.06
  6. Step 6: Final answer
    x = 2,574.98

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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.