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Finding the Fourth Proportional to 22,633.56, 33,954.93 and 7,842.15

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Solution

The fourth proportional to 22,633.56, 33,954.93 and 7,842.15 is: 11,764.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,633.56 : 33,954.93 = 7,842.15 : x
  2. Step 2: Convert to fraction form
    22,633.56/33,954.93 = 7,842.15/x
  3. Step 3: Cross multiply
    22,633.56x = 33,954.93 × 7,842.15
  4. Step 4: Simplify right side
    22,633.56x = 266,279,654.30
  5. Step 5: Solve for x
    x = 266,279,654.30/22,633.56
  6. Step 6: Final answer
    x = 11,764.82

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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.