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Finding the Fourth Proportional to 8,249.20, 11,385 and 4,894.96

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Solution

The fourth proportional to 8,249.20, 11,385 and 4,894.96 is: 6,755.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,249.20 : 11,385 = 4,894.96 : x
  2. Step 2: Convert to fraction form
    8,249.20/11,385 = 4,894.96/x
  3. Step 3: Cross multiply
    8,249.20x = 11,385 × 4,894.96
  4. Step 4: Simplify right side
    8,249.20x = 55,729,119.60
  5. Step 5: Solve for x
    x = 55,729,119.60/8,249.20
  6. Step 6: Final answer
    x = 6,755.70

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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.