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Finding the Fourth Proportional to 27,758.37, 41,635.94 and 6,980.25

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Solution

The fourth proportional to 27,758.37, 41,635.94 and 6,980.25 is: 10,469.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,758.37 : 41,635.94 = 6,980.25 : x
  2. Step 2: Convert to fraction form
    27,758.37/41,635.94 = 6,980.25/x
  3. Step 3: Cross multiply
    27,758.37x = 41,635.94 × 6,980.25
  4. Step 4: Simplify right side
    27,758.37x = 290,629,235.28
  5. Step 5: Solve for x
    x = 290,629,235.28/27,758.37
  6. Step 6: Final answer
    x = 10,469.97

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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.