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Finding the Fourth Proportional to 8,471.60, 12,706.20 and 2,628.80

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Solution

The fourth proportional to 8,471.60, 12,706.20 and 2,628.80 is: 3,942.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,471.60 : 12,706.20 = 2,628.80 : x
  2. Step 2: Convert to fraction form
    8,471.60/12,706.20 = 2,628.80/x
  3. Step 3: Cross multiply
    8,471.60x = 12,706.20 × 2,628.80
  4. Step 4: Simplify right side
    8,471.60x = 33,402,058.56
  5. Step 5: Solve for x
    x = 33,402,058.56/8,471.60
  6. Step 6: Final answer
    x = 3,942.83

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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.