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Finding the Fourth Proportional to 6,954.88, 10,431.24 and 2,023.50

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Solution

The fourth proportional to 6,954.88, 10,431.24 and 2,023.50 is: 3,034.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,954.88 : 10,431.24 = 2,023.50 : x
  2. Step 2: Convert to fraction form
    6,954.88/10,431.24 = 2,023.50/x
  3. Step 3: Cross multiply
    6,954.88x = 10,431.24 × 2,023.50
  4. Step 4: Simplify right side
    6,954.88x = 21,107,614.14
  5. Step 5: Solve for x
    x = 21,107,614.14/6,954.88
  6. Step 6: Final answer
    x = 3,034.94

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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.