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Finding the Fourth Proportional to 17,101, 23,600.82 and 9,650.44

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Solution

The fourth proportional to 17,101, 23,600.82 and 9,650.44 is: 13,318.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,101 : 23,600.82 = 9,650.44 : x
  2. Step 2: Convert to fraction form
    17,101/23,600.82 = 9,650.44/x
  3. Step 3: Cross multiply
    17,101x = 23,600.82 × 9,650.44
  4. Step 4: Simplify right side
    17,101x = 227,758,297.36
  5. Step 5: Solve for x
    x = 227,758,297.36/17,101
  6. Step 6: Final answer
    x = 13,318.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.