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Finding the Fourth Proportional to 6,339.26, 9,493.94 and 3,209.42

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Solution

The fourth proportional to 6,339.26, 9,493.94 and 3,209.42 is: 4,806.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,339.26 : 9,493.94 = 3,209.42 : x
  2. Step 2: Convert to fraction form
    6,339.26/9,493.94 = 3,209.42/x
  3. Step 3: Cross multiply
    6,339.26x = 9,493.94 × 3,209.42
  4. Step 4: Simplify right side
    6,339.26x = 30,470,040.91
  5. Step 5: Solve for x
    x = 30,470,040.91/6,339.26
  6. Step 6: Final answer
    x = 4,806.56

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1.5x scale

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.