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Finding the Fourth Proportional to 8,144.86, 11,239.90 and 4,418.86

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Solution

The fourth proportional to 8,144.86, 11,239.90 and 4,418.86 is: 6,098.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,144.86 : 11,239.90 = 4,418.86 : x
  2. Step 2: Convert to fraction form
    8,144.86/11,239.90 = 4,418.86/x
  3. Step 3: Cross multiply
    8,144.86x = 11,239.90 × 4,418.86
  4. Step 4: Simplify right side
    8,144.86x = 49,667,544.51
  5. Step 5: Solve for x
    x = 49,667,544.51/8,144.86
  6. Step 6: Final answer
    x = 6,098.02

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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.