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Finding the Fourth Proportional to 11,198.43, 16,800.24 and 3,802.89

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Solution

The fourth proportional to 11,198.43, 16,800.24 and 3,802.89 is: 5,705.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,198.43 : 16,800.24 = 3,802.89 : x
  2. Step 2: Convert to fraction form
    11,198.43/16,800.24 = 3,802.89/x
  3. Step 3: Cross multiply
    11,198.43x = 16,800.24 × 3,802.89
  4. Step 4: Simplify right side
    11,198.43x = 63,889,527.69
  5. Step 5: Solve for x
    x = 63,889,527.69/11,198.43
  6. Step 6: Final answer
    x = 5,705.22

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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.