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Finding the Fourth Proportional to 7,105.34, 10,658 and 2,174.92

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Solution

The fourth proportional to 7,105.34, 10,658 and 2,174.92 is: 3,262.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,105.34 : 10,658 = 2,174.92 : x
  2. Step 2: Convert to fraction form
    7,105.34/10,658 = 2,174.92/x
  3. Step 3: Cross multiply
    7,105.34x = 10,658 × 2,174.92
  4. Step 4: Simplify right side
    7,105.34x = 23,180,297.36
  5. Step 5: Solve for x
    x = 23,180,297.36/7,105.34
  6. Step 6: Final answer
    x = 3,262.38

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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.