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Finding the Fourth Proportional to 10,092.77, 13,930.05 and 5,843.24

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Solution

The fourth proportional to 10,092.77, 13,930.05 and 5,843.24 is: 8,064.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,092.77 : 13,930.05 = 5,843.24 : x
  2. Step 2: Convert to fraction form
    10,092.77/13,930.05 = 5,843.24/x
  3. Step 3: Cross multiply
    10,092.77x = 13,930.05 × 5,843.24
  4. Step 4: Simplify right side
    10,092.77x = 81,396,625.36
  5. Step 5: Solve for x
    x = 81,396,625.36/10,092.77
  6. Step 6: Final answer
    x = 8,064.84

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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.