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Finding the Fourth Proportional to 7,127.82, 10,687.50 and 2,196

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Solution

The fourth proportional to 7,127.82, 10,687.50 and 2,196 is: 3,292.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,127.82 : 10,687.50 = 2,196 : x
  2. Step 2: Convert to fraction form
    7,127.82/10,687.50 = 2,196/x
  3. Step 3: Cross multiply
    7,127.82x = 10,687.50 × 2,196
  4. Step 4: Simplify right side
    7,127.82x = 23,469,750
  5. Step 5: Solve for x
    x = 23,469,750/7,127.82
  6. Step 6: Final answer
    x = 3,292.70

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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.