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Finding the Fourth Proportional to 6,914.34, 10,367.34 and 2,754.99

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Solution

The fourth proportional to 6,914.34, 10,367.34 and 2,754.99 is: 4,130.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,914.34 : 10,367.34 = 2,754.99 : x
  2. Step 2: Convert to fraction form
    6,914.34/10,367.34 = 2,754.99/x
  3. Step 3: Cross multiply
    6,914.34x = 10,367.34 × 2,754.99
  4. Step 4: Simplify right side
    6,914.34x = 28,561,918.03
  5. Step 5: Solve for x
    x = 28,561,918.03/6,914.34
  6. Step 6: Final answer
    x = 4,130.82

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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.