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Finding the Fourth Proportional to 17,882.54, 26,823.82 and 6,195.76

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Solution

The fourth proportional to 17,882.54, 26,823.82 and 6,195.76 is: 9,293.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,882.54 : 26,823.82 = 6,195.76 : x
  2. Step 2: Convert to fraction form
    17,882.54/26,823.82 = 6,195.76/x
  3. Step 3: Cross multiply
    17,882.54x = 26,823.82 × 6,195.76
  4. Step 4: Simplify right side
    17,882.54x = 166,193,951.00
  5. Step 5: Solve for x
    x = 166,193,951.00/17,882.54
  6. Step 6: Final answer
    x = 9,293.64

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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.