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Finding the Fourth Proportional to 6,734.50, 10,097.19 and 2,349.56

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Solution

The fourth proportional to 6,734.50, 10,097.19 and 2,349.56 is: 3,522.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,734.50 : 10,097.19 = 2,349.56 : x
  2. Step 2: Convert to fraction form
    6,734.50/10,097.19 = 2,349.56/x
  3. Step 3: Cross multiply
    6,734.50x = 10,097.19 × 2,349.56
  4. Step 4: Simplify right side
    6,734.50x = 23,723,978.98
  5. Step 5: Solve for x
    x = 23,723,978.98/6,734.50
  6. Step 6: Final answer
    x = 3,522.75

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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.