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Finding the Fourth Proportional to 6,751, 10,082.15 and 5,828.44

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Solution

The fourth proportional to 6,751, 10,082.15 and 5,828.44 is: 8,704.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,751 : 10,082.15 = 5,828.44 : x
  2. Step 2: Convert to fraction form
    6,751/10,082.15 = 5,828.44/x
  3. Step 3: Cross multiply
    6,751x = 10,082.15 × 5,828.44
  4. Step 4: Simplify right side
    6,751x = 58,763,206.35
  5. Step 5: Solve for x
    x = 58,763,206.35/6,751
  6. Step 6: Final answer
    x = 8,704.37

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.