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Finding the Fourth Proportional to 6,556.84, 9,833.89 and 2,398.80

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Solution

The fourth proportional to 6,556.84, 9,833.89 and 2,398.80 is: 3,597.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,556.84 : 9,833.89 = 2,398.80 : x
  2. Step 2: Convert to fraction form
    6,556.84/9,833.89 = 2,398.80/x
  3. Step 3: Cross multiply
    6,556.84x = 9,833.89 × 2,398.80
  4. Step 4: Simplify right side
    6,556.84x = 23,589,535.33
  5. Step 5: Solve for x
    x = 23,589,535.33/6,556.84
  6. Step 6: Final answer
    x = 3,597.70

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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.