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Finding the Fourth Proportional to 6,177.86, 8,524.85 and 3,659.97

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Solution

The fourth proportional to 6,177.86, 8,524.85 and 3,659.97 is: 5,050.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,177.86 : 8,524.85 = 3,659.97 : x
  2. Step 2: Convert to fraction form
    6,177.86/8,524.85 = 3,659.97/x
  3. Step 3: Cross multiply
    6,177.86x = 8,524.85 × 3,659.97
  4. Step 4: Simplify right side
    6,177.86x = 31,200,704.40
  5. Step 5: Solve for x
    x = 31,200,704.40/6,177.86
  6. Step 6: Final answer
    x = 5,050.41

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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.