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Finding the Fourth Proportional to 22,054.75, 33,082.13 and 5,638.75

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Solution

The fourth proportional to 22,054.75, 33,082.13 and 5,638.75 is: 8,458.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,054.75 : 33,082.13 = 5,638.75 : x
  2. Step 2: Convert to fraction form
    22,054.75/33,082.13 = 5,638.75/x
  3. Step 3: Cross multiply
    22,054.75x = 33,082.13 × 5,638.75
  4. Step 4: Simplify right side
    22,054.75x = 186,541,832.34
  5. Step 5: Solve for x
    x = 186,541,832.34/22,054.75
  6. Step 6: Final answer
    x = 8,458.13

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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.