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Finding the Fourth Proportional to 6,804, 10,206 and 2,187

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Solution

The fourth proportional to 6,804, 10,206 and 2,187 is: 3,280.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,804 : 10,206 = 2,187 : x
  2. Step 2: Convert to fraction form
    6,804/10,206 = 2,187/x
  3. Step 3: Cross multiply
    6,804x = 10,206 × 2,187
  4. Step 4: Simplify right side
    6,804x = 22,320,522
  5. Step 5: Solve for x
    x = 22,320,522/6,804
  6. Step 6: Final answer
    x = 3,280.50

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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.