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Finding the Fourth Proportional to 6,334.54, 9,493.61 and 4,251.42

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Solution

The fourth proportional to 6,334.54, 9,493.61 and 4,251.42 is: 6,371.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,334.54 : 9,493.61 = 4,251.42 : x
  2. Step 2: Convert to fraction form
    6,334.54/9,493.61 = 4,251.42/x
  3. Step 3: Cross multiply
    6,334.54x = 9,493.61 × 4,251.42
  4. Step 4: Simplify right side
    6,334.54x = 40,361,302.17
  5. Step 5: Solve for x
    x = 40,361,302.17/6,334.54
  6. Step 6: Final answer
    x = 6,371.63

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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.