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Finding the Fourth Proportional to 8,535.38, 12,797.60 and 6,949.80

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Solution

The fourth proportional to 8,535.38, 12,797.60 and 6,949.80 is: 10,420.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,535.38 : 12,797.60 = 6,949.80 : x
  2. Step 2: Convert to fraction form
    8,535.38/12,797.60 = 6,949.80/x
  3. Step 3: Cross multiply
    8,535.38x = 12,797.60 × 6,949.80
  4. Step 4: Simplify right side
    8,535.38x = 88,940,725.73
  5. Step 5: Solve for x
    x = 88,940,725.73/8,535.38
  6. Step 6: Final answer
    x = 10,420.25

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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.