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Finding the Fourth Proportional to 11,906.10, 17,846.91 and 8,011.62

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Solution

The fourth proportional to 11,906.10, 17,846.91 and 8,011.62 is: 12,009.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,906.10 : 17,846.91 = 8,011.62 : x
  2. Step 2: Convert to fraction form
    11,906.10/17,846.91 = 8,011.62/x
  3. Step 3: Cross multiply
    11,906.10x = 17,846.91 × 8,011.62
  4. Step 4: Simplify right side
    11,906.10x = 142,982,661.09
  5. Step 5: Solve for x
    x = 142,982,661.09/11,906.10
  6. Step 6: Final answer
    x = 12,009.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.