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Finding the Fourth Proportional to 19,396, 29,094 and 7,084

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Solution

The fourth proportional to 19,396, 29,094 and 7,084 is: 10,626

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,396 : 29,094 = 7,084 : x
  2. Step 2: Convert to fraction form
    19,396/29,094 = 7,084/x
  3. Step 3: Cross multiply
    19,396x = 29,094 × 7,084
  4. Step 4: Simplify right side
    19,396x = 206,101,896
  5. Step 5: Solve for x
    x = 206,101,896/19,396
  6. Step 6: Final answer
    x = 10,626

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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.