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Finding the Fourth Proportional to 6,964.28, 9,610.89 and 3,980.60

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Solution

The fourth proportional to 6,964.28, 9,610.89 and 3,980.60 is: 5,493.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,964.28 : 9,610.89 = 3,980.60 : x
  2. Step 2: Convert to fraction form
    6,964.28/9,610.89 = 3,980.60/x
  3. Step 3: Cross multiply
    6,964.28x = 9,610.89 × 3,980.60
  4. Step 4: Simplify right side
    6,964.28x = 38,257,108.73
  5. Step 5: Solve for x
    x = 38,257,108.73/6,964.28
  6. Step 6: Final answer
    x = 5,493.33

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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.