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Finding the Fourth Proportional to 22,633, 33,958.14 and 8,783.08

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Solution

The fourth proportional to 22,633, 33,958.14 and 8,783.08 is: 13,177.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,633 : 33,958.14 = 8,783.08 : x
  2. Step 2: Convert to fraction form
    22,633/33,958.14 = 8,783.08/x
  3. Step 3: Cross multiply
    22,633x = 33,958.14 × 8,783.08
  4. Step 4: Simplify right side
    22,633x = 298,257,060.27
  5. Step 5: Solve for x
    x = 298,257,060.27/22,633
  6. Step 6: Final answer
    x = 13,177.97

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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.