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Finding the Fourth Proportional to 6,951.57, 10,427.27 and 2,791.50

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Solution

The fourth proportional to 6,951.57, 10,427.27 and 2,791.50 is: 4,187.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,951.57 : 10,427.27 = 2,791.50 : x
  2. Step 2: Convert to fraction form
    6,951.57/10,427.27 = 2,791.50/x
  3. Step 3: Cross multiply
    6,951.57x = 10,427.27 × 2,791.50
  4. Step 4: Simplify right side
    6,951.57x = 29,107,671.15
  5. Step 5: Solve for x
    x = 29,107,671.15/6,951.57
  6. Step 6: Final answer
    x = 4,187.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.