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Finding the Fourth Proportional to 16,219.73, 22,383.22 and 8,767.73

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Solution

The fourth proportional to 16,219.73, 22,383.22 and 8,767.73 is: 12,099.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,219.73 : 22,383.22 = 8,767.73 : x
  2. Step 2: Convert to fraction form
    16,219.73/22,383.22 = 8,767.73/x
  3. Step 3: Cross multiply
    16,219.73x = 22,383.22 × 8,767.73
  4. Step 4: Simplify right side
    16,219.73x = 196,250,029.49
  5. Step 5: Solve for x
    x = 196,250,029.49/16,219.73
  6. Step 6: Final answer
    x = 12,099.46

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Half scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.