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Finding the Fourth Proportional to 6,098.74, 9,147.05 and 1,715.16

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Solution

The fourth proportional to 6,098.74, 9,147.05 and 1,715.16 is: 2,572.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,098.74 : 9,147.05 = 1,715.16 : x
  2. Step 2: Convert to fraction form
    6,098.74/9,147.05 = 1,715.16/x
  3. Step 3: Cross multiply
    6,098.74x = 9,147.05 × 1,715.16
  4. Step 4: Simplify right side
    6,098.74x = 15,688,654.28
  5. Step 5: Solve for x
    x = 15,688,654.28/6,098.74
  6. Step 6: Final answer
    x = 2,572.44

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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.