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Finding the Fourth Proportional to 16,846.72, 25,257.92 and 8,074.88

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Solution

The fourth proportional to 16,846.72, 25,257.92 and 8,074.88 is: 12,106.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,846.72 : 25,257.92 = 8,074.88 : x
  2. Step 2: Convert to fraction form
    16,846.72/25,257.92 = 8,074.88/x
  3. Step 3: Cross multiply
    16,846.72x = 25,257.92 × 8,074.88
  4. Step 4: Simplify right side
    16,846.72x = 203,954,673.05
  5. Step 5: Solve for x
    x = 203,954,673.05/16,846.72
  6. Step 6: Final answer
    x = 12,106.49

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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.