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Finding the Fourth Proportional to 6,793.41, 9,375.78 and 4,140.75

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Solution

The fourth proportional to 6,793.41, 9,375.78 and 4,140.75 is: 5,714.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,793.41 : 9,375.78 = 4,140.75 : x
  2. Step 2: Convert to fraction form
    6,793.41/9,375.78 = 4,140.75/x
  3. Step 3: Cross multiply
    6,793.41x = 9,375.78 × 4,140.75
  4. Step 4: Simplify right side
    6,793.41x = 38,822,761.04
  5. Step 5: Solve for x
    x = 38,822,761.04/6,793.41
  6. Step 6: Final answer
    x = 5,714.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.