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Finding the Fourth Proportional to 8,201.86, 11,322.99 and 5,015.86

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Solution

The fourth proportional to 8,201.86, 11,322.99 and 5,015.86 is: 6,924.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,201.86 : 11,322.99 = 5,015.86 : x
  2. Step 2: Convert to fraction form
    8,201.86/11,322.99 = 5,015.86/x
  3. Step 3: Cross multiply
    8,201.86x = 11,322.99 × 5,015.86
  4. Step 4: Simplify right side
    8,201.86x = 56,794,504.31
  5. Step 5: Solve for x
    x = 56,794,504.31/8,201.86
  6. Step 6: Final answer
    x = 6,924.59

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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.