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Finding the Fourth Proportional to 33,993.36, 50,997.42 and 10,299

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Solution

The fourth proportional to 33,993.36, 50,997.42 and 10,299 is: 15,450.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,993.36 : 50,997.42 = 10,299 : x
  2. Step 2: Convert to fraction form
    33,993.36/50,997.42 = 10,299/x
  3. Step 3: Cross multiply
    33,993.36x = 50,997.42 × 10,299
  4. Step 4: Simplify right side
    33,993.36x = 525,222,428.58
  5. Step 5: Solve for x
    x = 525,222,428.58/33,993.36
  6. Step 6: Final answer
    x = 15,450.74

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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.