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Finding the Fourth Proportional to 6,728.50, 10,092.84 and 2,111.50

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Solution

The fourth proportional to 6,728.50, 10,092.84 and 2,111.50 is: 3,167.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,728.50 : 10,092.84 = 2,111.50 : x
  2. Step 2: Convert to fraction form
    6,728.50/10,092.84 = 2,111.50/x
  3. Step 3: Cross multiply
    6,728.50x = 10,092.84 × 2,111.50
  4. Step 4: Simplify right side
    6,728.50x = 21,311,031.66
  5. Step 5: Solve for x
    x = 21,311,031.66/6,728.50
  6. Step 6: Final answer
    x = 3,167.28

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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.