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Finding the Fourth Proportional to 7,174, 10,759.14 and 3,223

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Solution

The fourth proportional to 7,174, 10,759.14 and 3,223 is: 4,833.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,174 : 10,759.14 = 3,223 : x
  2. Step 2: Convert to fraction form
    7,174/10,759.14 = 3,223/x
  3. Step 3: Cross multiply
    7,174x = 10,759.14 × 3,223
  4. Step 4: Simplify right side
    7,174x = 34,676,708.22
  5. Step 5: Solve for x
    x = 34,676,708.22/7,174
  6. Step 6: Final answer
    x = 4,833.66

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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.