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Finding the Fourth Proportional to 6,306.21, 9,454.92 and 2,794.30

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Solution

The fourth proportional to 6,306.21, 9,454.92 and 2,794.30 is: 4,189.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,306.21 : 9,454.92 = 2,794.30 : x
  2. Step 2: Convert to fraction form
    6,306.21/9,454.92 = 2,794.30/x
  3. Step 3: Cross multiply
    6,306.21x = 9,454.92 × 2,794.30
  4. Step 4: Simplify right side
    6,306.21x = 26,419,882.96
  5. Step 5: Solve for x
    x = 26,419,882.96/6,306.21
  6. Step 6: Final answer
    x = 4,189.50

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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.