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Finding the Fourth Proportional to 6,327.57, 8,734.79 and 4,348.34

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Solution

The fourth proportional to 6,327.57, 8,734.79 and 4,348.34 is: 6,002.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,327.57 : 8,734.79 = 4,348.34 : x
  2. Step 2: Convert to fraction form
    6,327.57/8,734.79 = 4,348.34/x
  3. Step 3: Cross multiply
    6,327.57x = 8,734.79 × 4,348.34
  4. Step 4: Simplify right side
    6,327.57x = 37,981,803.95
  5. Step 5: Solve for x
    x = 37,981,803.95/6,327.57
  6. Step 6: Final answer
    x = 6,002.59

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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.