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Finding the Fourth Proportional to 6,854.80, 10,276.24 and 3,339.92

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Solution

The fourth proportional to 6,854.80, 10,276.24 and 3,339.92 is: 5,006.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,854.80 : 10,276.24 = 3,339.92 : x
  2. Step 2: Convert to fraction form
    6,854.80/10,276.24 = 3,339.92/x
  3. Step 3: Cross multiply
    6,854.80x = 10,276.24 × 3,339.92
  4. Step 4: Simplify right side
    6,854.80x = 34,321,819.50
  5. Step 5: Solve for x
    x = 34,321,819.50/6,854.80
  6. Step 6: Final answer
    x = 5,006.98

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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.