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Finding the Fourth Proportional to 8,203.53, 11,321.82 and 4,667.30

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Solution

The fourth proportional to 8,203.53, 11,321.82 and 4,667.30 is: 6,441.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,203.53 : 11,321.82 = 4,667.30 : x
  2. Step 2: Convert to fraction form
    8,203.53/11,321.82 = 4,667.30/x
  3. Step 3: Cross multiply
    8,203.53x = 11,321.82 × 4,667.30
  4. Step 4: Simplify right side
    8,203.53x = 52,842,273.88
  5. Step 5: Solve for x
    x = 52,842,273.88/8,203.53
  6. Step 6: Final answer
    x = 6,441.41

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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.