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Finding the Fourth Proportional to 8,057.19, 12,067.20 and 5,821.86

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Solution

The fourth proportional to 8,057.19, 12,067.20 and 5,821.86 is: 8,719.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,057.19 : 12,067.20 = 5,821.86 : x
  2. Step 2: Convert to fraction form
    8,057.19/12,067.20 = 5,821.86/x
  3. Step 3: Cross multiply
    8,057.19x = 12,067.20 × 5,821.86
  4. Step 4: Simplify right side
    8,057.19x = 70,253,548.99
  5. Step 5: Solve for x
    x = 70,253,548.99/8,057.19
  6. Step 6: Final answer
    x = 8,719.36

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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.