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Finding the Fourth Proportional to 16,763.88, 23,137 and 9,694.60

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Solution

The fourth proportional to 16,763.88, 23,137 and 9,694.60 is: 13,380.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,763.88 : 23,137 = 9,694.60 : x
  2. Step 2: Convert to fraction form
    16,763.88/23,137 = 9,694.60/x
  3. Step 3: Cross multiply
    16,763.88x = 23,137 × 9,694.60
  4. Step 4: Simplify right side
    16,763.88x = 224,303,960.20
  5. Step 5: Solve for x
    x = 224,303,960.20/16,763.88
  6. Step 6: Final answer
    x = 13,380.19

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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.