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Finding the Fourth Proportional to 19,833.38, 29,750.09 and 5,982.38

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Solution

The fourth proportional to 19,833.38, 29,750.09 and 5,982.38 is: 8,973.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,833.38 : 29,750.09 = 5,982.38 : x
  2. Step 2: Convert to fraction form
    19,833.38/29,750.09 = 5,982.38/x
  3. Step 3: Cross multiply
    19,833.38x = 29,750.09 × 5,982.38
  4. Step 4: Simplify right side
    19,833.38x = 177,976,164.75
  5. Step 5: Solve for x
    x = 177,976,164.75/19,833.38
  6. Step 6: Final answer
    x = 8,973.57

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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.