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Finding the Fourth Proportional to 6,608.50, 9,894.30 and 5,452.42

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Solution

The fourth proportional to 6,608.50, 9,894.30 and 5,452.42 is: 8,163.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,608.50 : 9,894.30 = 5,452.42 : x
  2. Step 2: Convert to fraction form
    6,608.50/9,894.30 = 5,452.42/x
  3. Step 3: Cross multiply
    6,608.50x = 9,894.30 × 5,452.42
  4. Step 4: Simplify right side
    6,608.50x = 53,947,879.21
  5. Step 5: Solve for x
    x = 53,947,879.21/6,608.50
  6. Step 6: Final answer
    x = 8,163.41

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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.