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Finding the Fourth Proportional to 6,694.44, 10,031.10 and 2,471.89

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Solution

The fourth proportional to 6,694.44, 10,031.10 and 2,471.89 is: 3,703.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,694.44 : 10,031.10 = 2,471.89 : x
  2. Step 2: Convert to fraction form
    6,694.44/10,031.10 = 2,471.89/x
  3. Step 3: Cross multiply
    6,694.44x = 10,031.10 × 2,471.89
  4. Step 4: Simplify right side
    6,694.44x = 24,795,713.26
  5. Step 5: Solve for x
    x = 24,795,713.26/6,694.44
  6. Step 6: Final answer
    x = 3,703.93

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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.