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Finding the Fourth Proportional to 6,833, 9,429.84 and 3,849

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Solution

The fourth proportional to 6,833, 9,429.84 and 3,849 is: 5,311.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,833 : 9,429.84 = 3,849 : x
  2. Step 2: Convert to fraction form
    6,833/9,429.84 = 3,849/x
  3. Step 3: Cross multiply
    6,833x = 9,429.84 × 3,849
  4. Step 4: Simplify right side
    6,833x = 36,295,454.16
  5. Step 5: Solve for x
    x = 36,295,454.16/6,833
  6. Step 6: Final answer
    x = 5,311.79

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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.