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Finding the Fourth Proportional to 8,213.78, 12,320.64 and 2,057.78

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Solution

The fourth proportional to 8,213.78, 12,320.64 and 2,057.78 is: 3,086.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,213.78 : 12,320.64 = 2,057.78 : x
  2. Step 2: Convert to fraction form
    8,213.78/12,320.64 = 2,057.78/x
  3. Step 3: Cross multiply
    8,213.78x = 12,320.64 × 2,057.78
  4. Step 4: Simplify right side
    8,213.78x = 25,353,166.58
  5. Step 5: Solve for x
    x = 25,353,166.58/8,213.78
  6. Step 6: Final answer
    x = 3,086.66

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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.