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Finding the Fourth Proportional to 6,099.17, 9,149.36 and 1,656.90

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Solution

The fourth proportional to 6,099.17, 9,149.36 and 1,656.90 is: 2,485.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,099.17 : 9,149.36 = 1,656.90 : x
  2. Step 2: Convert to fraction form
    6,099.17/9,149.36 = 1,656.90/x
  3. Step 3: Cross multiply
    6,099.17x = 9,149.36 × 1,656.90
  4. Step 4: Simplify right side
    6,099.17x = 15,159,574.58
  5. Step 5: Solve for x
    x = 15,159,574.58/6,099.17
  6. Step 6: Final answer
    x = 2,485.52

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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.