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Finding the Fourth Proportional to 6,914.60, 9,542.09 and 3,770.78

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Solution

The fourth proportional to 6,914.60, 9,542.09 and 3,770.78 is: 5,203.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,914.60 : 9,542.09 = 3,770.78 : x
  2. Step 2: Convert to fraction form
    6,914.60/9,542.09 = 3,770.78/x
  3. Step 3: Cross multiply
    6,914.60x = 9,542.09 × 3,770.78
  4. Step 4: Simplify right side
    6,914.60x = 35,981,155.41
  5. Step 5: Solve for x
    x = 35,981,155.41/6,914.60
  6. Step 6: Final answer
    x = 5,203.65

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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.