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Finding the Fourth Proportional to 11,794.92, 16,267.92 and 7,321.32

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Solution

The fourth proportional to 11,794.92, 16,267.92 and 7,321.32 is: 10,097.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,794.92 : 16,267.92 = 7,321.32 : x
  2. Step 2: Convert to fraction form
    11,794.92/16,267.92 = 7,321.32/x
  3. Step 3: Cross multiply
    11,794.92x = 16,267.92 × 7,321.32
  4. Step 4: Simplify right side
    11,794.92x = 119,102,648.05
  5. Step 5: Solve for x
    x = 119,102,648.05/11,794.92
  6. Step 6: Final answer
    x = 10,097.79

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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.