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Finding the Fourth Proportional to 6,959.88, 10,441.50 and 2,343.24

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Solution

The fourth proportional to 6,959.88, 10,441.50 and 2,343.24 is: 3,515.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,959.88 : 10,441.50 = 2,343.24 : x
  2. Step 2: Convert to fraction form
    6,959.88/10,441.50 = 2,343.24/x
  3. Step 3: Cross multiply
    6,959.88x = 10,441.50 × 2,343.24
  4. Step 4: Simplify right side
    6,959.88x = 24,466,940.46
  5. Step 5: Solve for x
    x = 24,466,940.46/6,959.88
  6. Step 6: Final answer
    x = 3,515.43

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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.