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Finding the Fourth Proportional to 6,793.56, 9,375 and 3,962.58

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Solution

The fourth proportional to 6,793.56, 9,375 and 3,962.58 is: 5,468.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,793.56 : 9,375 = 3,962.58 : x
  2. Step 2: Convert to fraction form
    6,793.56/9,375 = 3,962.58/x
  3. Step 3: Cross multiply
    6,793.56x = 9,375 × 3,962.58
  4. Step 4: Simplify right side
    6,793.56x = 37,149,187.50
  5. Step 5: Solve for x
    x = 37,149,187.50/6,793.56
  6. Step 6: Final answer
    x = 5,468.29

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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.