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Finding the Fourth Proportional to 6,822.80, 10,230.84 and 2,205.20

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Solution

The fourth proportional to 6,822.80, 10,230.84 and 2,205.20 is: 3,306.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,822.80 : 10,230.84 = 2,205.20 : x
  2. Step 2: Convert to fraction form
    6,822.80/10,230.84 = 2,205.20/x
  3. Step 3: Cross multiply
    6,822.80x = 10,230.84 × 2,205.20
  4. Step 4: Simplify right side
    6,822.80x = 22,561,048.37
  5. Step 5: Solve for x
    x = 22,561,048.37/6,822.80
  6. Step 6: Final answer
    x = 3,306.71

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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.