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Finding the Fourth Proportional to 33,257.97, 49,895.19 and 9,884.34

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Solution

The fourth proportional to 33,257.97, 49,895.19 and 9,884.34 is: 14,828.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,257.97 : 49,895.19 = 9,884.34 : x
  2. Step 2: Convert to fraction form
    33,257.97/49,895.19 = 9,884.34/x
  3. Step 3: Cross multiply
    33,257.97x = 49,895.19 × 9,884.34
  4. Step 4: Simplify right side
    33,257.97x = 493,181,022.32
  5. Step 5: Solve for x
    x = 493,181,022.32/33,257.97
  6. Step 6: Final answer
    x = 14,828.96

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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.