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Finding the Fourth Proportional to 7,793.35, 11,694.78 and 4,098.23

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Solution

The fourth proportional to 7,793.35, 11,694.78 and 4,098.23 is: 6,149.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,793.35 : 11,694.78 = 4,098.23 : x
  2. Step 2: Convert to fraction form
    7,793.35/11,694.78 = 4,098.23/x
  3. Step 3: Cross multiply
    7,793.35x = 11,694.78 × 4,098.23
  4. Step 4: Simplify right side
    7,793.35x = 47,927,883.62
  5. Step 5: Solve for x
    x = 47,927,883.62/7,793.35
  6. Step 6: Final answer
    x = 6,149.85

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1.5x scale

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.