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Finding the Fourth Proportional to 23,793.60, 35,706.84 and 8,211.28

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Solution

The fourth proportional to 23,793.60, 35,706.84 and 8,211.28 is: 12,322.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,793.60 : 35,706.84 = 8,211.28 : x
  2. Step 2: Convert to fraction form
    23,793.60/35,706.84 = 8,211.28/x
  3. Step 3: Cross multiply
    23,793.60x = 35,706.84 × 8,211.28
  4. Step 4: Simplify right side
    23,793.60x = 293,198,861.16
  5. Step 5: Solve for x
    x = 293,198,861.16/23,793.60
  6. Step 6: Final answer
    x = 12,322.59

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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.