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Finding the Fourth Proportional to 6,806.99, 10,214.44 and 2,649.87

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Solution

The fourth proportional to 6,806.99, 10,214.44 and 2,649.87 is: 3,976.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,806.99 : 10,214.44 = 2,649.87 : x
  2. Step 2: Convert to fraction form
    6,806.99/10,214.44 = 2,649.87/x
  3. Step 3: Cross multiply
    6,806.99x = 10,214.44 × 2,649.87
  4. Step 4: Simplify right side
    6,806.99x = 27,066,938.12
  5. Step 5: Solve for x
    x = 27,066,938.12/6,806.99
  6. Step 6: Final answer
    x = 3,976.34

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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.