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Finding the Fourth Proportional to 27,967.56, 41,943 and 8,245.68

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Solution

The fourth proportional to 27,967.56, 41,943 and 8,245.68 is: 12,366.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,967.56 : 41,943 = 8,245.68 : x
  2. Step 2: Convert to fraction form
    27,967.56/41,943 = 8,245.68/x
  3. Step 3: Cross multiply
    27,967.56x = 41,943 × 8,245.68
  4. Step 4: Simplify right side
    27,967.56x = 345,848,556.24
  5. Step 5: Solve for x
    x = 345,848,556.24/27,967.56
  6. Step 6: Final answer
    x = 12,366.06

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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.