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Finding the Fourth Proportional to 6,696.14, 10,046.20 and 2,314.04

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Solution

The fourth proportional to 6,696.14, 10,046.20 and 2,314.04 is: 3,471.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,696.14 : 10,046.20 = 2,314.04 : x
  2. Step 2: Convert to fraction form
    6,696.14/10,046.20 = 2,314.04/x
  3. Step 3: Cross multiply
    6,696.14x = 10,046.20 × 2,314.04
  4. Step 4: Simplify right side
    6,696.14x = 23,247,308.65
  5. Step 5: Solve for x
    x = 23,247,308.65/6,696.14
  6. Step 6: Final answer
    x = 3,471.75

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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.