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Finding the Fourth Proportional to 8,093.75, 11,169.41 and 4,508.42

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Solution

The fourth proportional to 8,093.75, 11,169.41 and 4,508.42 is: 6,221.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,093.75 : 11,169.41 = 4,508.42 : x
  2. Step 2: Convert to fraction form
    8,093.75/11,169.41 = 4,508.42/x
  3. Step 3: Cross multiply
    8,093.75x = 11,169.41 × 4,508.42
  4. Step 4: Simplify right side
    8,093.75x = 50,356,313.04
  5. Step 5: Solve for x
    x = 50,356,313.04/8,093.75
  6. Step 6: Final answer
    x = 6,221.63

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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.