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Finding the Fourth Proportional to 8,203.32, 11,321.91 and 5,059.71

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Solution

The fourth proportional to 8,203.32, 11,321.91 and 5,059.71 is: 6,983.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,203.32 : 11,321.91 = 5,059.71 : x
  2. Step 2: Convert to fraction form
    8,203.32/11,321.91 = 5,059.71/x
  3. Step 3: Cross multiply
    8,203.32x = 11,321.91 × 5,059.71
  4. Step 4: Simplify right side
    8,203.32x = 57,285,581.25
  5. Step 5: Solve for x
    x = 57,285,581.25/8,203.32
  6. Step 6: Final answer
    x = 6,983.22

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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.