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Finding the Fourth Proportional to 6,702.70, 10,046.52 and 3,146.57

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Solution

The fourth proportional to 6,702.70, 10,046.52 and 3,146.57 is: 4,716.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,702.70 : 10,046.52 = 3,146.57 : x
  2. Step 2: Convert to fraction form
    6,702.70/10,046.52 = 3,146.57/x
  3. Step 3: Cross multiply
    6,702.70x = 10,046.52 × 3,146.57
  4. Step 4: Simplify right side
    6,702.70x = 31,612,078.44
  5. Step 5: Solve for x
    x = 31,612,078.44/6,702.70
  6. Step 6: Final answer
    x = 4,716.32

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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.