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Finding the Fourth Proportional to 6,751, 10,131 and 2,594.44

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Solution

The fourth proportional to 6,751, 10,131 and 2,594.44 is: 3,893.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,751 : 10,131 = 2,594.44 : x
  2. Step 2: Convert to fraction form
    6,751/10,131 = 2,594.44/x
  3. Step 3: Cross multiply
    6,751x = 10,131 × 2,594.44
  4. Step 4: Simplify right side
    6,751x = 26,284,271.64
  5. Step 5: Solve for x
    x = 26,284,271.64/6,751
  6. Step 6: Final answer
    x = 3,893.39

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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.