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Finding the Fourth Proportional to 6,956.97, 9,600.62 and 3,813.09

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Solution

The fourth proportional to 6,956.97, 9,600.62 and 3,813.09 is: 5,262.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,956.97 : 9,600.62 = 3,813.09 : x
  2. Step 2: Convert to fraction form
    6,956.97/9,600.62 = 3,813.09/x
  3. Step 3: Cross multiply
    6,956.97x = 9,600.62 × 3,813.09
  4. Step 4: Simplify right side
    6,956.97x = 36,608,009.05
  5. Step 5: Solve for x
    x = 36,608,009.05/6,956.97
  6. Step 6: Final answer
    x = 5,262.06

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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.