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Finding the Fourth Proportional to 6,993, 9,650.37 and 3,849.24

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Solution

The fourth proportional to 6,993, 9,650.37 and 3,849.24 is: 5,311.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,993 : 9,650.37 = 3,849.24 : x
  2. Step 2: Convert to fraction form
    6,993/9,650.37 = 3,849.24/x
  3. Step 3: Cross multiply
    6,993x = 9,650.37 × 3,849.24
  4. Step 4: Simplify right side
    6,993x = 37,146,590.22
  5. Step 5: Solve for x
    x = 37,146,590.22/6,993
  6. Step 6: Final answer
    x = 5,311.97

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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.