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Finding the Fourth Proportional to 6,906.99, 10,361.16 and 2,746.07

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Solution

The fourth proportional to 6,906.99, 10,361.16 and 2,746.07 is: 4,119.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,906.99 : 10,361.16 = 2,746.07 : x
  2. Step 2: Convert to fraction form
    6,906.99/10,361.16 = 2,746.07/x
  3. Step 3: Cross multiply
    6,906.99x = 10,361.16 × 2,746.07
  4. Step 4: Simplify right side
    6,906.99x = 28,452,418.84
  5. Step 5: Solve for x
    x = 28,452,418.84/6,906.99
  6. Step 6: Final answer
    x = 4,119.37

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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.