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Finding the Fourth Proportional to 16,198.08, 22,353 and 9,124.38

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Solution

The fourth proportional to 16,198.08, 22,353 and 9,124.38 is: 12,591.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,198.08 : 22,353 = 9,124.38 : x
  2. Step 2: Convert to fraction form
    16,198.08/22,353 = 9,124.38/x
  3. Step 3: Cross multiply
    16,198.08x = 22,353 × 9,124.38
  4. Step 4: Simplify right side
    16,198.08x = 203,957,266.14
  5. Step 5: Solve for x
    x = 203,957,266.14/16,198.08
  6. Step 6: Final answer
    x = 12,591.45

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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.