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Finding the Fourth Proportional to 6,980.88, 9,634.20 and 3,837.66

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Solution

The fourth proportional to 6,980.88, 9,634.20 and 3,837.66 is: 5,296.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,980.88 : 9,634.20 = 3,837.66 : x
  2. Step 2: Convert to fraction form
    6,980.88/9,634.20 = 3,837.66/x
  3. Step 3: Cross multiply
    6,980.88x = 9,634.20 × 3,837.66
  4. Step 4: Simplify right side
    6,980.88x = 36,972,783.97
  5. Step 5: Solve for x
    x = 36,972,783.97/6,980.88
  6. Step 6: Final answer
    x = 5,296.29

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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.