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Finding the Fourth Proportional to 6,796.77, 10,194 and 1,865.25

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Solution

The fourth proportional to 6,796.77, 10,194 and 1,865.25 is: 2,797.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,796.77 : 10,194 = 1,865.25 : x
  2. Step 2: Convert to fraction form
    6,796.77/10,194 = 1,865.25/x
  3. Step 3: Cross multiply
    6,796.77x = 10,194 × 1,865.25
  4. Step 4: Simplify right side
    6,796.77x = 19,014,358.50
  5. Step 5: Solve for x
    x = 19,014,358.50/6,796.77
  6. Step 6: Final answer
    x = 2,797.56

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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.