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Finding the Fourth Proportional to 8,079.74, 11,149 and 4,542.27

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Solution

The fourth proportional to 8,079.74, 11,149 and 4,542.27 is: 6,267.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,079.74 : 11,149 = 4,542.27 : x
  2. Step 2: Convert to fraction form
    8,079.74/11,149 = 4,542.27/x
  3. Step 3: Cross multiply
    8,079.74x = 11,149 × 4,542.27
  4. Step 4: Simplify right side
    8,079.74x = 50,641,768.23
  5. Step 5: Solve for x
    x = 50,641,768.23/8,079.74
  6. Step 6: Final answer
    x = 6,267.75

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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.