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Finding the Fourth Proportional to 8,279.26, 11,427 and 4,744.82

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Solution

The fourth proportional to 8,279.26, 11,427 and 4,744.82 is: 6,548.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,279.26 : 11,427 = 4,744.82 : x
  2. Step 2: Convert to fraction form
    8,279.26/11,427 = 4,744.82/x
  3. Step 3: Cross multiply
    8,279.26x = 11,427 × 4,744.82
  4. Step 4: Simplify right side
    8,279.26x = 54,219,058.14
  5. Step 5: Solve for x
    x = 54,219,058.14/8,279.26
  6. Step 6: Final answer
    x = 6,548.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.