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Finding the Fourth Proportional to 21,797.31, 32,695.98 and 6,214.94

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Solution

The fourth proportional to 21,797.31, 32,695.98 and 6,214.94 is: 9,322.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,797.31 : 32,695.98 = 6,214.94 : x
  2. Step 2: Convert to fraction form
    21,797.31/32,695.98 = 6,214.94/x
  3. Step 3: Cross multiply
    21,797.31x = 32,695.98 × 6,214.94
  4. Step 4: Simplify right side
    21,797.31x = 203,203,553.94
  5. Step 5: Solve for x
    x = 203,203,553.94/21,797.31
  6. Step 6: Final answer
    x = 9,322.41

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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.