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Finding the Fourth Proportional to 8,321.72, 11,464.44 and 5,799.24

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Solution

The fourth proportional to 8,321.72, 11,464.44 and 5,799.24 is: 7,989.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,321.72 : 11,464.44 = 5,799.24 : x
  2. Step 2: Convert to fraction form
    8,321.72/11,464.44 = 5,799.24/x
  3. Step 3: Cross multiply
    8,321.72x = 11,464.44 × 5,799.24
  4. Step 4: Simplify right side
    8,321.72x = 66,485,010.03
  5. Step 5: Solve for x
    x = 66,485,010.03/8,321.72
  6. Step 6: Final answer
    x = 7,989.34

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Half scale
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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.