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Finding the Fourth Proportional to 8,326.16, 12,481.14 and 6,769.34

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Solution

The fourth proportional to 8,326.16, 12,481.14 and 6,769.34 is: 10,147.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,326.16 : 12,481.14 = 6,769.34 : x
  2. Step 2: Convert to fraction form
    8,326.16/12,481.14 = 6,769.34/x
  3. Step 3: Cross multiply
    8,326.16x = 12,481.14 × 6,769.34
  4. Step 4: Simplify right side
    8,326.16x = 84,489,080.25
  5. Step 5: Solve for x
    x = 84,489,080.25/8,326.16
  6. Step 6: Final answer
    x = 10,147.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.