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Finding the Fourth Proportional to 6,474.44, 9,711.87 and 1,794.05

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Solution

The fourth proportional to 6,474.44, 9,711.87 and 1,794.05 is: 2,691.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,474.44 : 9,711.87 = 1,794.05 : x
  2. Step 2: Convert to fraction form
    6,474.44/9,711.87 = 1,794.05/x
  3. Step 3: Cross multiply
    6,474.44x = 9,711.87 × 1,794.05
  4. Step 4: Simplify right side
    6,474.44x = 17,423,561.51
  5. Step 5: Solve for x
    x = 17,423,561.51/6,474.44
  6. Step 6: Final answer
    x = 2,691.13

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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.