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Finding the Fourth Proportional to 16,480.56, 22,741.92 and 9,406.02

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Solution

The fourth proportional to 16,480.56, 22,741.92 and 9,406.02 is: 12,979.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,480.56 : 22,741.92 = 9,406.02 : x
  2. Step 2: Convert to fraction form
    16,480.56/22,741.92 = 9,406.02/x
  3. Step 3: Cross multiply
    16,480.56x = 22,741.92 × 9,406.02
  4. Step 4: Simplify right side
    16,480.56x = 213,910,954.36
  5. Step 5: Solve for x
    x = 213,910,954.36/16,480.56
  6. Step 6: Final answer
    x = 12,979.59

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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.