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Finding the Fourth Proportional to 6,198.68, 9,298.02 and 2,735.24

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Solution

The fourth proportional to 6,198.68, 9,298.02 and 2,735.24 is: 4,102.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,198.68 : 9,298.02 = 2,735.24 : x
  2. Step 2: Convert to fraction form
    6,198.68/9,298.02 = 2,735.24/x
  3. Step 3: Cross multiply
    6,198.68x = 9,298.02 × 2,735.24
  4. Step 4: Simplify right side
    6,198.68x = 25,432,316.22
  5. Step 5: Solve for x
    x = 25,432,316.22/6,198.68
  6. Step 6: Final answer
    x = 4,102.86

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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.