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Finding the Fourth Proportional to 8,441.67, 11,650.02 and 4,857.78

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Solution

The fourth proportional to 8,441.67, 11,650.02 and 4,857.78 is: 6,704.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,441.67 : 11,650.02 = 4,857.78 : x
  2. Step 2: Convert to fraction form
    8,441.67/11,650.02 = 4,857.78/x
  3. Step 3: Cross multiply
    8,441.67x = 11,650.02 × 4,857.78
  4. Step 4: Simplify right side
    8,441.67x = 56,593,234.16
  5. Step 5: Solve for x
    x = 56,593,234.16/8,441.67
  6. Step 6: Final answer
    x = 6,704.03

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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.