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Finding the Fourth Proportional to 6,961.80, 10,443.10 and 2,032.20

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Solution

The fourth proportional to 6,961.80, 10,443.10 and 2,032.20 is: 3,048.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,961.80 : 10,443.10 = 2,032.20 : x
  2. Step 2: Convert to fraction form
    6,961.80/10,443.10 = 2,032.20/x
  3. Step 3: Cross multiply
    6,961.80x = 10,443.10 × 2,032.20
  4. Step 4: Simplify right side
    6,961.80x = 21,222,467.82
  5. Step 5: Solve for x
    x = 21,222,467.82/6,961.80
  6. Step 6: Final answer
    x = 3,048.42

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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.