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Finding the Fourth Proportional to 21,843.64, 32,765.46 and 5,427.64

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Solution

The fourth proportional to 21,843.64, 32,765.46 and 5,427.64 is: 8,141.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,843.64 : 32,765.46 = 5,427.64 : x
  2. Step 2: Convert to fraction form
    21,843.64/32,765.46 = 5,427.64/x
  3. Step 3: Cross multiply
    21,843.64x = 32,765.46 × 5,427.64
  4. Step 4: Simplify right side
    21,843.64x = 177,839,121.31
  5. Step 5: Solve for x
    x = 177,839,121.31/21,843.64
  6. Step 6: Final answer
    x = 8,141.46

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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.