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Finding the Fourth Proportional to 6,937.62, 9,573.92 and 3,793.82

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Solution

The fourth proportional to 6,937.62, 9,573.92 and 3,793.82 is: 5,235.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,937.62 : 9,573.92 = 3,793.82 : x
  2. Step 2: Convert to fraction form
    6,937.62/9,573.92 = 3,793.82/x
  3. Step 3: Cross multiply
    6,937.62x = 9,573.92 × 3,793.82
  4. Step 4: Simplify right side
    6,937.62x = 36,321,729.17
  5. Step 5: Solve for x
    x = 36,321,729.17/6,937.62
  6. Step 6: Final answer
    x = 5,235.47

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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.