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Finding the Fourth Proportional to 6,565.44, 9,850.49 and 4,035.41

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Solution

The fourth proportional to 6,565.44, 9,850.49 and 4,035.41 is: 6,054.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,565.44 : 9,850.49 = 4,035.41 : x
  2. Step 2: Convert to fraction form
    6,565.44/9,850.49 = 4,035.41/x
  3. Step 3: Cross multiply
    6,565.44x = 9,850.49 × 4,035.41
  4. Step 4: Simplify right side
    6,565.44x = 39,750,765.85
  5. Step 5: Solve for x
    x = 39,750,765.85/6,565.44
  6. Step 6: Final answer
    x = 6,054.55

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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.