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Finding the Fourth Proportional to 6,922.80, 10,387.80 and 3,027.60

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Solution

The fourth proportional to 6,922.80, 10,387.80 and 3,027.60 is: 4,542.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,922.80 : 10,387.80 = 3,027.60 : x
  2. Step 2: Convert to fraction form
    6,922.80/10,387.80 = 3,027.60/x
  3. Step 3: Cross multiply
    6,922.80x = 10,387.80 × 3,027.60
  4. Step 4: Simplify right side
    6,922.80x = 31,450,103.28
  5. Step 5: Solve for x
    x = 31,450,103.28/6,922.80
  6. Step 6: Final answer
    x = 4,542.97

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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.