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Finding the Fourth Proportional to 21,731.84, 32,597.76 and 6,147.44

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Solution

The fourth proportional to 21,731.84, 32,597.76 and 6,147.44 is: 9,221.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,731.84 : 32,597.76 = 6,147.44 : x
  2. Step 2: Convert to fraction form
    21,731.84/32,597.76 = 6,147.44/x
  3. Step 3: Cross multiply
    21,731.84x = 32,597.76 × 6,147.44
  4. Step 4: Simplify right side
    21,731.84x = 200,392,773.73
  5. Step 5: Solve for x
    x = 200,392,773.73/21,731.84
  6. Step 6: Final answer
    x = 9,221.16

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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.