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Finding the Fourth Proportional to 33,788.25, 50,682.56 and 9,164.25

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Solution

The fourth proportional to 33,788.25, 50,682.56 and 9,164.25 is: 13,746.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,788.25 : 50,682.56 = 9,164.25 : x
  2. Step 2: Convert to fraction form
    33,788.25/50,682.56 = 9,164.25/x
  3. Step 3: Cross multiply
    33,788.25x = 50,682.56 × 9,164.25
  4. Step 4: Simplify right side
    33,788.25x = 464,467,604.66
  5. Step 5: Solve for x
    x = 464,467,604.66/33,788.25
  6. Step 6: Final answer
    x = 13,746.42

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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.