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Finding the Fourth Proportional to 17,282.70, 25,906.10 and 8,384.90

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Solution

The fourth proportional to 17,282.70, 25,906.10 and 8,384.90 is: 12,568.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,282.70 : 25,906.10 = 8,384.90 : x
  2. Step 2: Convert to fraction form
    17,282.70/25,906.10 = 8,384.90/x
  3. Step 3: Cross multiply
    17,282.70x = 25,906.10 × 8,384.90
  4. Step 4: Simplify right side
    17,282.70x = 217,219,886.44
  5. Step 5: Solve for x
    x = 217,219,886.44/17,282.70
  6. Step 6: Final answer
    x = 12,568.63

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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.