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Finding the Fourth Proportional to 11,832.63, 17,749.89 and 6,902.78

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Solution

The fourth proportional to 11,832.63, 17,749.89 and 6,902.78 is: 10,354.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,832.63 : 17,749.89 = 6,902.78 : x
  2. Step 2: Convert to fraction form
    11,832.63/17,749.89 = 6,902.78/x
  3. Step 3: Cross multiply
    11,832.63x = 17,749.89 × 6,902.78
  4. Step 4: Simplify right side
    11,832.63x = 122,523,496.94
  5. Step 5: Solve for x
    x = 122,523,496.94/11,832.63
  6. Step 6: Final answer
    x = 10,354.71

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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.