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Finding the Fourth Proportional to 6,982.09, 9,635.31 and 3,838.30

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Solution

The fourth proportional to 6,982.09, 9,635.31 and 3,838.30 is: 5,296.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,982.09 : 9,635.31 = 3,838.30 : x
  2. Step 2: Convert to fraction form
    6,982.09/9,635.31 = 3,838.30/x
  3. Step 3: Cross multiply
    6,982.09x = 9,635.31 × 3,838.30
  4. Step 4: Simplify right side
    6,982.09x = 36,983,143.00
  5. Step 5: Solve for x
    x = 36,983,143.00/6,982.09
  6. Step 6: Final answer
    x = 5,296.86

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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.