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Finding the Fourth Proportional to 6,695.52, 9,285 and 6,481.68

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Solution

The fourth proportional to 6,695.52, 9,285 and 6,481.68 is: 8,988.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,695.52 : 9,285 = 6,481.68 : x
  2. Step 2: Convert to fraction form
    6,695.52/9,285 = 6,481.68/x
  3. Step 3: Cross multiply
    6,695.52x = 9,285 × 6,481.68
  4. Step 4: Simplify right side
    6,695.52x = 60,182,398.80
  5. Step 5: Solve for x
    x = 60,182,398.80/6,695.52
  6. Step 6: Final answer
    x = 8,988.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.