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Finding the Fourth Proportional to 11,768.88, 16,241.13 and 6,463.65

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Solution

The fourth proportional to 11,768.88, 16,241.13 and 6,463.65 is: 8,919.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,768.88 : 16,241.13 = 6,463.65 : x
  2. Step 2: Convert to fraction form
    11,768.88/16,241.13 = 6,463.65/x
  3. Step 3: Cross multiply
    11,768.88x = 16,241.13 × 6,463.65
  4. Step 4: Simplify right side
    11,768.88x = 104,976,979.92
  5. Step 5: Solve for x
    x = 104,976,979.92/11,768.88
  6. Step 6: Final answer
    x = 8,919.88

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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.