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Finding the Fourth Proportional to 7,174.67, 10,761.89 and 3,477.22

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Solution

The fourth proportional to 7,174.67, 10,761.89 and 3,477.22 is: 5,215.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,174.67 : 10,761.89 = 3,477.22 : x
  2. Step 2: Convert to fraction form
    7,174.67/10,761.89 = 3,477.22/x
  3. Step 3: Cross multiply
    7,174.67x = 10,761.89 × 3,477.22
  4. Step 4: Simplify right side
    7,174.67x = 37,421,414.85
  5. Step 5: Solve for x
    x = 37,421,414.85/7,174.67
  6. Step 6: Final answer
    x = 5,215.77

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1.5x scale

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.