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Finding the Fourth Proportional to 12,165.96, 16,793.43 and 7,692.75

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Solution

The fourth proportional to 12,165.96, 16,793.43 and 7,692.75 is: 10,618.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,165.96 : 16,793.43 = 7,692.75 : x
  2. Step 2: Convert to fraction form
    12,165.96/16,793.43 = 7,692.75/x
  3. Step 3: Cross multiply
    12,165.96x = 16,793.43 × 7,692.75
  4. Step 4: Simplify right side
    12,165.96x = 129,187,658.63
  5. Step 5: Solve for x
    x = 129,187,658.63/12,165.96
  6. Step 6: Final answer
    x = 10,618.78

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Half scale
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Double scale
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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.