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Finding the Fourth Proportional to 16,074.84, 22,183.02 and 9,001.20

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Solution

The fourth proportional to 16,074.84, 22,183.02 and 9,001.20 is: 12,421.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,074.84 : 22,183.02 = 9,001.20 : x
  2. Step 2: Convert to fraction form
    16,074.84/22,183.02 = 9,001.20/x
  3. Step 3: Cross multiply
    16,074.84x = 22,183.02 × 9,001.20
  4. Step 4: Simplify right side
    16,074.84x = 199,673,799.62
  5. Step 5: Solve for x
    x = 199,673,799.62/16,074.84
  6. Step 6: Final answer
    x = 12,421.51

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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.