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Finding the Fourth Proportional to 11,906.15, 16,431.03 and 6,601.07

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Solution

The fourth proportional to 11,906.15, 16,431.03 and 6,601.07 is: 9,109.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,906.15 : 16,431.03 = 6,601.07 : x
  2. Step 2: Convert to fraction form
    11,906.15/16,431.03 = 6,601.07/x
  3. Step 3: Cross multiply
    11,906.15x = 16,431.03 × 6,601.07
  4. Step 4: Simplify right side
    11,906.15x = 108,462,379.20
  5. Step 5: Solve for x
    x = 108,462,379.20/11,906.15
  6. Step 6: Final answer
    x = 9,109.78

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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.