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Finding the Fourth Proportional to 8,098.92, 11,175.84 and 4,563

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Solution

The fourth proportional to 8,098.92, 11,175.84 and 4,563 is: 6,296.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,098.92 : 11,175.84 = 4,563 : x
  2. Step 2: Convert to fraction form
    8,098.92/11,175.84 = 4,563/x
  3. Step 3: Cross multiply
    8,098.92x = 11,175.84 × 4,563
  4. Step 4: Simplify right side
    8,098.92x = 50,995,357.92
  5. Step 5: Solve for x
    x = 50,995,357.92/8,098.92
  6. Step 6: Final answer
    x = 6,296.56

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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.