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Finding the Fourth Proportional to 6,550.80, 9,822.84 and 1,933.20

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Solution

The fourth proportional to 6,550.80, 9,822.84 and 1,933.20 is: 2,898.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,550.80 : 9,822.84 = 1,933.20 : x
  2. Step 2: Convert to fraction form
    6,550.80/9,822.84 = 1,933.20/x
  3. Step 3: Cross multiply
    6,550.80x = 9,822.84 × 1,933.20
  4. Step 4: Simplify right side
    6,550.80x = 18,989,514.29
  5. Step 5: Solve for x
    x = 18,989,514.29/6,550.80
  6. Step 6: Final answer
    x = 2,898.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.