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Finding the Fourth Proportional to 6,557.56, 9,833.40 and 2,113.85

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Solution

The fourth proportional to 6,557.56, 9,833.40 and 2,113.85 is: 3,169.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,557.56 : 9,833.40 = 2,113.85 : x
  2. Step 2: Convert to fraction form
    6,557.56/9,833.40 = 2,113.85/x
  3. Step 3: Cross multiply
    6,557.56x = 9,833.40 × 2,113.85
  4. Step 4: Simplify right side
    6,557.56x = 20,786,301.86
  5. Step 5: Solve for x
    x = 20,786,301.86/6,557.56
  6. Step 6: Final answer
    x = 3,169.82

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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.