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Finding the Fourth Proportional to 6,344.57, 9,511.39 and 3,053.14

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Solution

The fourth proportional to 6,344.57, 9,511.39 and 3,053.14 is: 4,577.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,344.57 : 9,511.39 = 3,053.14 : x
  2. Step 2: Convert to fraction form
    6,344.57/9,511.39 = 3,053.14/x
  3. Step 3: Cross multiply
    6,344.57x = 9,511.39 × 3,053.14
  4. Step 4: Simplify right side
    6,344.57x = 29,039,573.85
  5. Step 5: Solve for x
    x = 29,039,573.85/6,344.57
  6. Step 6: Final answer
    x = 4,577.07

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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.