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Finding the Fourth Proportional to 16,963.97, 23,410.11 and 9,410.31

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Solution

The fourth proportional to 16,963.97, 23,410.11 and 9,410.31 is: 12,986.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,963.97 : 23,410.11 = 9,410.31 : x
  2. Step 2: Convert to fraction form
    16,963.97/23,410.11 = 9,410.31/x
  3. Step 3: Cross multiply
    16,963.97x = 23,410.11 × 9,410.31
  4. Step 4: Simplify right side
    16,963.97x = 220,296,392.23
  5. Step 5: Solve for x
    x = 220,296,392.23/16,963.97
  6. Step 6: Final answer
    x = 12,986.14

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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.