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Finding the Fourth Proportional to 8,132.76, 11,198.16 and 6,935.09

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Solution

The fourth proportional to 8,132.76, 11,198.16 and 6,935.09 is: 9,549.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,132.76 : 11,198.16 = 6,935.09 : x
  2. Step 2: Convert to fraction form
    8,132.76/11,198.16 = 6,935.09/x
  3. Step 3: Cross multiply
    8,132.76x = 11,198.16 × 6,935.09
  4. Step 4: Simplify right side
    8,132.76x = 77,660,191.44
  5. Step 5: Solve for x
    x = 77,660,191.44/8,132.76
  6. Step 6: Final answer
    x = 9,549.06

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Half scale
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Double scale
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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.