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Finding the Fourth Proportional to 6,906.45, 10,354.01 and 2,744.67

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Solution

The fourth proportional to 6,906.45, 10,354.01 and 2,744.67 is: 4,114.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,906.45 : 10,354.01 = 2,744.67 : x
  2. Step 2: Convert to fraction form
    6,906.45/10,354.01 = 2,744.67/x
  3. Step 3: Cross multiply
    6,906.45x = 10,354.01 × 2,744.67
  4. Step 4: Simplify right side
    6,906.45x = 28,418,326.90
  5. Step 5: Solve for x
    x = 28,418,326.90/6,906.45
  6. Step 6: Final answer
    x = 4,114.75

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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.