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Finding the Fourth Proportional to 16,277.38, 22,462.80 and 8,825.38

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Solution

The fourth proportional to 16,277.38, 22,462.80 and 8,825.38 is: 12,179.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,277.38 : 22,462.80 = 8,825.38 : x
  2. Step 2: Convert to fraction form
    16,277.38/22,462.80 = 8,825.38/x
  3. Step 3: Cross multiply
    16,277.38x = 22,462.80 × 8,825.38
  4. Step 4: Simplify right side
    16,277.38x = 198,242,745.86
  5. Step 5: Solve for x
    x = 198,242,745.86/16,277.38
  6. Step 6: Final answer
    x = 12,179.03

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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.