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Finding the Fourth Proportional to 8,193.56, 12,286.74 and 2,348.84

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Solution

The fourth proportional to 8,193.56, 12,286.74 and 2,348.84 is: 3,522.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,193.56 : 12,286.74 = 2,348.84 : x
  2. Step 2: Convert to fraction form
    8,193.56/12,286.74 = 2,348.84/x
  3. Step 3: Cross multiply
    8,193.56x = 12,286.74 × 2,348.84
  4. Step 4: Simplify right side
    8,193.56x = 28,859,586.38
  5. Step 5: Solve for x
    x = 28,859,586.38/8,193.56
  6. Step 6: Final answer
    x = 3,522.23

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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.