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Finding the Fourth Proportional to 6,550.97, 9,825.84 and 4,204.80

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Solution

The fourth proportional to 6,550.97, 9,825.84 and 4,204.80 is: 6,306.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,550.97 : 9,825.84 = 4,204.80 : x
  2. Step 2: Convert to fraction form
    6,550.97/9,825.84 = 4,204.80/x
  3. Step 3: Cross multiply
    6,550.97x = 9,825.84 × 4,204.80
  4. Step 4: Simplify right side
    6,550.97x = 41,315,692.03
  5. Step 5: Solve for x
    x = 41,315,692.03/6,550.97
  6. Step 6: Final answer
    x = 6,306.81

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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.