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Finding the Fourth Proportional to 17,644.21, 26,468.46 and 7,785.97

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Solution

The fourth proportional to 17,644.21, 26,468.46 and 7,785.97 is: 11,679.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,644.21 : 26,468.46 = 7,785.97 : x
  2. Step 2: Convert to fraction form
    17,644.21/26,468.46 = 7,785.97/x
  3. Step 3: Cross multiply
    17,644.21x = 26,468.46 × 7,785.97
  4. Step 4: Simplify right side
    17,644.21x = 206,082,635.51
  5. Step 5: Solve for x
    x = 206,082,635.51/17,644.21
  6. Step 6: Final answer
    x = 11,679.90

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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.