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Finding the Fourth Proportional to 27,858.24, 41,786.28 and 7,082.28

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Solution

The fourth proportional to 27,858.24, 41,786.28 and 7,082.28 is: 10,623.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,858.24 : 41,786.28 = 7,082.28 : x
  2. Step 2: Convert to fraction form
    27,858.24/41,786.28 = 7,082.28/x
  3. Step 3: Cross multiply
    27,858.24x = 41,786.28 × 7,082.28
  4. Step 4: Simplify right side
    27,858.24x = 295,942,135.12
  5. Step 5: Solve for x
    x = 295,942,135.12/27,858.24
  6. Step 6: Final answer
    x = 10,623.15

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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.