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Finding the Fourth Proportional to 8,493.85, 12,743.03 and 2,947.18

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Solution

The fourth proportional to 8,493.85, 12,743.03 and 2,947.18 is: 4,421.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,493.85 : 12,743.03 = 2,947.18 : x
  2. Step 2: Convert to fraction form
    8,493.85/12,743.03 = 2,947.18/x
  3. Step 3: Cross multiply
    8,493.85x = 12,743.03 × 2,947.18
  4. Step 4: Simplify right side
    8,493.85x = 37,555,956.56
  5. Step 5: Solve for x
    x = 37,555,956.56/8,493.85
  6. Step 6: Final answer
    x = 4,421.55

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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.