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Finding the Fourth Proportional to 11,202.86, 16,758.09 and 9,206

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Solution

The fourth proportional to 11,202.86, 16,758.09 and 9,206 is: 13,771.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,202.86 : 16,758.09 = 9,206 : x
  2. Step 2: Convert to fraction form
    11,202.86/16,758.09 = 9,206/x
  3. Step 3: Cross multiply
    11,202.86x = 16,758.09 × 9,206
  4. Step 4: Simplify right side
    11,202.86x = 154,274,976.54
  5. Step 5: Solve for x
    x = 154,274,976.54/11,202.86
  6. Step 6: Final answer
    x = 13,771.03

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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.