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Finding the Fourth Proportional to 6,896, 10,346.04 and 3,976.40

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Solution

The fourth proportional to 6,896, 10,346.04 and 3,976.40 is: 5,965.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,896 : 10,346.04 = 3,976.40 : x
  2. Step 2: Convert to fraction form
    6,896/10,346.04 = 3,976.40/x
  3. Step 3: Cross multiply
    6,896x = 10,346.04 × 3,976.40
  4. Step 4: Simplify right side
    6,896x = 41,139,993.46
  5. Step 5: Solve for x
    x = 41,139,993.46/6,896
  6. Step 6: Final answer
    x = 5,965.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.