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Finding the Fourth Proportional to 21,992.76, 32,982.69 and 6,196.74

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Solution

The fourth proportional to 21,992.76, 32,982.69 and 6,196.74 is: 9,293.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,992.76 : 32,982.69 = 6,196.74 : x
  2. Step 2: Convert to fraction form
    21,992.76/32,982.69 = 6,196.74/x
  3. Step 3: Cross multiply
    21,992.76x = 32,982.69 × 6,196.74
  4. Step 4: Simplify right side
    21,992.76x = 204,385,154.43
  5. Step 5: Solve for x
    x = 204,385,154.43/21,992.76
  6. Step 6: Final answer
    x = 9,293.29

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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.