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Finding the Fourth Proportional to 8,049.78, 11,109.16 and 4,514.12

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Solution

The fourth proportional to 8,049.78, 11,109.16 and 4,514.12 is: 6,229.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,049.78 : 11,109.16 = 4,514.12 : x
  2. Step 2: Convert to fraction form
    8,049.78/11,109.16 = 4,514.12/x
  3. Step 3: Cross multiply
    8,049.78x = 11,109.16 × 4,514.12
  4. Step 4: Simplify right side
    8,049.78x = 50,148,081.34
  5. Step 5: Solve for x
    x = 50,148,081.34/8,049.78
  6. Step 6: Final answer
    x = 6,229.75

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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.