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Finding the Fourth Proportional to 16,101.96, 22,222.09 and 9,029.74

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Solution

The fourth proportional to 16,101.96, 22,222.09 and 9,029.74 is: 12,461.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,101.96 : 22,222.09 = 9,029.74 : x
  2. Step 2: Convert to fraction form
    16,101.96/22,222.09 = 9,029.74/x
  3. Step 3: Cross multiply
    16,101.96x = 22,222.09 × 9,029.74
  4. Step 4: Simplify right side
    16,101.96x = 200,659,694.96
  5. Step 5: Solve for x
    x = 200,659,694.96/16,101.96
  6. Step 6: Final answer
    x = 12,461.82

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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.