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Finding the Fourth Proportional to 6,731.30, 10,098.57 and 2,114.30

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Solution

The fourth proportional to 6,731.30, 10,098.57 and 2,114.30 is: 3,171.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,731.30 : 10,098.57 = 2,114.30 : x
  2. Step 2: Convert to fraction form
    6,731.30/10,098.57 = 2,114.30/x
  3. Step 3: Cross multiply
    6,731.30x = 10,098.57 × 2,114.30
  4. Step 4: Simplify right side
    6,731.30x = 21,351,406.55
  5. Step 5: Solve for x
    x = 21,351,406.55/6,731.30
  6. Step 6: Final answer
    x = 3,171.96

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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.