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Finding the Fourth Proportional to 11,730.42, 16,187.74 and 6,694.92

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Solution

The fourth proportional to 11,730.42, 16,187.74 and 6,694.92 is: 9,238.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,730.42 : 16,187.74 = 6,694.92 : x
  2. Step 2: Convert to fraction form
    11,730.42/16,187.74 = 6,694.92/x
  3. Step 3: Cross multiply
    11,730.42x = 16,187.74 × 6,694.92
  4. Step 4: Simplify right side
    11,730.42x = 108,375,624.28
  5. Step 5: Solve for x
    x = 108,375,624.28/11,730.42
  6. Step 6: Final answer
    x = 9,238.85

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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.