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Finding the Fourth Proportional to 17,882.80, 26,822.64 and 6,789.57

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Solution

The fourth proportional to 17,882.80, 26,822.64 and 6,789.57 is: 10,183.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,882.80 : 26,822.64 = 6,789.57 : x
  2. Step 2: Convert to fraction form
    17,882.80/26,822.64 = 6,789.57/x
  3. Step 3: Cross multiply
    17,882.80x = 26,822.64 × 6,789.57
  4. Step 4: Simplify right side
    17,882.80x = 182,114,267.62
  5. Step 5: Solve for x
    x = 182,114,267.62/17,882.80
  6. Step 6: Final answer
    x = 10,183.77

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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.