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Finding the Fourth Proportional to 21,796.75, 32,695.43 and 6,214.38

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Solution

The fourth proportional to 21,796.75, 32,695.43 and 6,214.38 is: 9,321.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,796.75 : 32,695.43 = 6,214.38 : x
  2. Step 2: Convert to fraction form
    21,796.75/32,695.43 = 6,214.38/x
  3. Step 3: Cross multiply
    21,796.75x = 32,695.43 × 6,214.38
  4. Step 4: Simplify right side
    21,796.75x = 203,181,826.28
  5. Step 5: Solve for x
    x = 203,181,826.28/21,796.75
  6. Step 6: Final answer
    x = 9,321.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.