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Finding the Fourth Proportional to 22,534.98, 33,793.83 and 7,741.14

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Solution

The fourth proportional to 22,534.98, 33,793.83 and 7,741.14 is: 11,608.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,534.98 : 33,793.83 = 7,741.14 : x
  2. Step 2: Convert to fraction form
    22,534.98/33,793.83 = 7,741.14/x
  3. Step 3: Cross multiply
    22,534.98x = 33,793.83 × 7,741.14
  4. Step 4: Simplify right side
    22,534.98x = 261,602,769.17
  5. Step 5: Solve for x
    x = 261,602,769.17/22,534.98
  6. Step 6: Final answer
    x = 11,608.74

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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.