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Finding the Fourth Proportional to 11,694.72, 16,137.93 and 6,659.46

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Solution

The fourth proportional to 11,694.72, 16,137.93 and 6,659.46 is: 9,189.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,694.72 : 16,137.93 = 6,659.46 : x
  2. Step 2: Convert to fraction form
    11,694.72/16,137.93 = 6,659.46/x
  3. Step 3: Cross multiply
    11,694.72x = 16,137.93 × 6,659.46
  4. Step 4: Simplify right side
    11,694.72x = 107,469,899.32
  5. Step 5: Solve for x
    x = 107,469,899.32/11,694.72
  6. Step 6: Final answer
    x = 9,189.61

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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.