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Finding the Fourth Proportional to 19,883.92, 29,825.20 and 5,092.97

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Solution

The fourth proportional to 19,883.92, 29,825.20 and 5,092.97 is: 7,639.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,883.92 : 29,825.20 = 5,092.97 : x
  2. Step 2: Convert to fraction form
    19,883.92/29,825.20 = 5,092.97/x
  3. Step 3: Cross multiply
    19,883.92x = 29,825.20 × 5,092.97
  4. Step 4: Simplify right side
    19,883.92x = 151,898,674.25
  5. Step 5: Solve for x
    x = 151,898,674.25/19,883.92
  6. Step 6: Final answer
    x = 7,639.27

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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.