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Finding the Fourth Proportional to 11,991.96, 16,551.72 and 8,014.68

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Solution

The fourth proportional to 11,991.96, 16,551.72 and 8,014.68 is: 11,062.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,991.96 : 16,551.72 = 8,014.68 : x
  2. Step 2: Convert to fraction form
    11,991.96/16,551.72 = 8,014.68/x
  3. Step 3: Cross multiply
    11,991.96x = 16,551.72 × 8,014.68
  4. Step 4: Simplify right side
    11,991.96x = 132,656,739.25
  5. Step 5: Solve for x
    x = 132,656,739.25/11,991.96
  6. Step 6: Final answer
    x = 11,062.14

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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.