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Finding the Fourth Proportional to 8,098.82, 11,177.14 and 4,741.44

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Solution

The fourth proportional to 8,098.82, 11,177.14 and 4,741.44 is: 6,543.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,098.82 : 11,177.14 = 4,741.44 : x
  2. Step 2: Convert to fraction form
    8,098.82/11,177.14 = 4,741.44/x
  3. Step 3: Cross multiply
    8,098.82x = 11,177.14 × 4,741.44
  4. Step 4: Simplify right side
    8,098.82x = 52,995,738.68
  5. Step 5: Solve for x
    x = 52,995,738.68/8,098.82
  6. Step 6: Final answer
    x = 6,543.64

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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.