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Finding the Fourth Proportional to 6,951.80, 10,427.84 and 2,271.83

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Solution

The fourth proportional to 6,951.80, 10,427.84 and 2,271.83 is: 3,407.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,951.80 : 10,427.84 = 2,271.83 : x
  2. Step 2: Convert to fraction form
    6,951.80/10,427.84 = 2,271.83/x
  3. Step 3: Cross multiply
    6,951.80x = 10,427.84 × 2,271.83
  4. Step 4: Simplify right side
    6,951.80x = 23,690,279.75
  5. Step 5: Solve for x
    x = 23,690,279.75/6,951.80
  6. Step 6: Final answer
    x = 3,407.79

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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.