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Finding the Fourth Proportional to 6,098.06, 9,147.60 and 1,715.56

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Solution

The fourth proportional to 6,098.06, 9,147.60 and 1,715.56 is: 2,573.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,098.06 : 9,147.60 = 1,715.56 : x
  2. Step 2: Convert to fraction form
    6,098.06/9,147.60 = 1,715.56/x
  3. Step 3: Cross multiply
    6,098.06x = 9,147.60 × 1,715.56
  4. Step 4: Simplify right side
    6,098.06x = 15,693,233.79
  5. Step 5: Solve for x
    x = 15,693,233.79/6,098.06
  6. Step 6: Final answer
    x = 2,573.48

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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.