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Finding the Fourth Proportional to 12,659.92, 17,467.08 and 8,183.76

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Solution

The fourth proportional to 12,659.92, 17,467.08 and 8,183.76 is: 11,291.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,659.92 : 17,467.08 = 8,183.76 : x
  2. Step 2: Convert to fraction form
    12,659.92/17,467.08 = 8,183.76/x
  3. Step 3: Cross multiply
    12,659.92x = 17,467.08 × 8,183.76
  4. Step 4: Simplify right side
    12,659.92x = 142,946,390.62
  5. Step 5: Solve for x
    x = 142,946,390.62/12,659.92
  6. Step 6: Final answer
    x = 11,291.26

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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.