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Finding the Fourth Proportional to 6,843.38, 9,443.86 and 3,699.56

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Solution

The fourth proportional to 6,843.38, 9,443.86 and 3,699.56 is: 5,105.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,843.38 : 9,443.86 = 3,699.56 : x
  2. Step 2: Convert to fraction form
    6,843.38/9,443.86 = 3,699.56/x
  3. Step 3: Cross multiply
    6,843.38x = 9,443.86 × 3,699.56
  4. Step 4: Simplify right side
    6,843.38x = 34,938,141.06
  5. Step 5: Solve for x
    x = 34,938,141.06/6,843.38
  6. Step 6: Final answer
    x = 5,105.40

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1.5x scale

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.