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Finding the Fourth Proportional to 16,004.85, 22,080.99 and 9,286.83

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Solution

The fourth proportional to 16,004.85, 22,080.99 and 9,286.83 is: 12,812.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,004.85 : 22,080.99 = 9,286.83 : x
  2. Step 2: Convert to fraction form
    16,004.85/22,080.99 = 9,286.83/x
  3. Step 3: Cross multiply
    16,004.85x = 22,080.99 × 9,286.83
  4. Step 4: Simplify right side
    16,004.85x = 205,062,400.36
  5. Step 5: Solve for x
    x = 205,062,400.36/16,004.85
  6. Step 6: Final answer
    x = 12,812.52

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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.