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Finding the Fourth Proportional to 12,171.63, 16,796.97 and 7,138.83

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Solution

The fourth proportional to 12,171.63, 16,796.97 and 7,138.83 is: 9,851.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,171.63 : 16,796.97 = 7,138.83 : x
  2. Step 2: Convert to fraction form
    12,171.63/16,796.97 = 7,138.83/x
  3. Step 3: Cross multiply
    12,171.63x = 16,796.97 × 7,138.83
  4. Step 4: Simplify right side
    12,171.63x = 119,910,713.35
  5. Step 5: Solve for x
    x = 119,910,713.35/12,171.63
  6. Step 6: Final answer
    x = 9,851.66

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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.