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Finding the Fourth Proportional to 6,377.70, 9,568.44 and 3,048.44

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Solution

The fourth proportional to 6,377.70, 9,568.44 and 3,048.44 is: 4,573.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,377.70 : 9,568.44 = 3,048.44 : x
  2. Step 2: Convert to fraction form
    6,377.70/9,568.44 = 3,048.44/x
  3. Step 3: Cross multiply
    6,377.70x = 9,568.44 × 3,048.44
  4. Step 4: Simplify right side
    6,377.70x = 29,168,815.23
  5. Step 5: Solve for x
    x = 29,168,815.23/6,377.70
  6. Step 6: Final answer
    x = 4,573.56

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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.