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Finding the Fourth Proportional to 16,610.96, 22,911.73 and 9,891.41

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Solution

The fourth proportional to 16,610.96, 22,911.73 and 9,891.41 is: 13,643.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,610.96 : 22,911.73 = 9,891.41 : x
  2. Step 2: Convert to fraction form
    16,610.96/22,911.73 = 9,891.41/x
  3. Step 3: Cross multiply
    16,610.96x = 22,911.73 × 9,891.41
  4. Step 4: Simplify right side
    16,610.96x = 226,629,175.95
  5. Step 5: Solve for x
    x = 226,629,175.95/16,610.96
  6. Step 6: Final answer
    x = 13,643.35

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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.