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Finding the Fourth Proportional to 6,189, 8,540.82 and 3,394.44

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Solution

The fourth proportional to 6,189, 8,540.82 and 3,394.44 is: 4,684.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,189 : 8,540.82 = 3,394.44 : x
  2. Step 2: Convert to fraction form
    6,189/8,540.82 = 3,394.44/x
  3. Step 3: Cross multiply
    6,189x = 8,540.82 × 3,394.44
  4. Step 4: Simplify right side
    6,189x = 28,991,301.04
  5. Step 5: Solve for x
    x = 28,991,301.04/6,189
  6. Step 6: Final answer
    x = 4,684.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.