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Finding the Fourth Proportional to 7,699, 11,550.42 and 2,227

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Solution

The fourth proportional to 7,699, 11,550.42 and 2,227 is: 3,341.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,699 : 11,550.42 = 2,227 : x
  2. Step 2: Convert to fraction form
    7,699/11,550.42 = 2,227/x
  3. Step 3: Cross multiply
    7,699x = 11,550.42 × 2,227
  4. Step 4: Simplify right side
    7,699x = 25,722,785.34
  5. Step 5: Solve for x
    x = 25,722,785.34/7,699
  6. Step 6: Final answer
    x = 3,341.06

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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.