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Finding the Fourth Proportional to 6,691.20, 10,027.20 and 4,922.40

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Solution

The fourth proportional to 6,691.20, 10,027.20 and 4,922.40 is: 7,376.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,691.20 : 10,027.20 = 4,922.40 : x
  2. Step 2: Convert to fraction form
    6,691.20/10,027.20 = 4,922.40/x
  3. Step 3: Cross multiply
    6,691.20x = 10,027.20 × 4,922.40
  4. Step 4: Simplify right side
    6,691.20x = 49,357,889.28
  5. Step 5: Solve for x
    x = 49,357,889.28/6,691.20
  6. Step 6: Final answer
    x = 7,376.54

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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.