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Finding the Fourth Proportional to 27,678.82, 41,524.82 and 8,958.86

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Solution

The fourth proportional to 27,678.82, 41,524.82 and 8,958.86 is: 13,440.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,678.82 : 41,524.82 = 8,958.86 : x
  2. Step 2: Convert to fraction form
    27,678.82/41,524.82 = 8,958.86/x
  3. Step 3: Cross multiply
    27,678.82x = 41,524.82 × 8,958.86
  4. Step 4: Simplify right side
    27,678.82x = 372,015,097.26
  5. Step 5: Solve for x
    x = 372,015,097.26/27,678.82
  6. Step 6: Final answer
    x = 13,440.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.