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Finding the Fourth Proportional to 16,193.64, 22,346.82 and 9,119.64

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Solution

The fourth proportional to 16,193.64, 22,346.82 and 9,119.64 is: 12,584.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,193.64 : 22,346.82 = 9,119.64 : x
  2. Step 2: Convert to fraction form
    16,193.64/22,346.82 = 9,119.64/x
  3. Step 3: Cross multiply
    16,193.64x = 22,346.82 × 9,119.64
  4. Step 4: Simplify right side
    16,193.64x = 203,794,953.54
  5. Step 5: Solve for x
    x = 203,794,953.54/16,193.64
  6. Step 6: Final answer
    x = 12,584.88

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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.