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Finding the Fourth Proportional to 6,959.50, 10,439.44 and 2,029.02

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Solution

The fourth proportional to 6,959.50, 10,439.44 and 2,029.02 is: 3,043.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,959.50 : 10,439.44 = 2,029.02 : x
  2. Step 2: Convert to fraction form
    6,959.50/10,439.44 = 2,029.02/x
  3. Step 3: Cross multiply
    6,959.50x = 10,439.44 × 2,029.02
  4. Step 4: Simplify right side
    6,959.50x = 21,181,832.55
  5. Step 5: Solve for x
    x = 21,181,832.55/6,959.50
  6. Step 6: Final answer
    x = 3,043.59

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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.