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Finding the Fourth Proportional to 12,473.97, 17,200.08 and 10,198.23

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Solution

The fourth proportional to 12,473.97, 17,200.08 and 10,198.23 is: 14,062.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,473.97 : 17,200.08 = 10,198.23 : x
  2. Step 2: Convert to fraction form
    12,473.97/17,200.08 = 10,198.23/x
  3. Step 3: Cross multiply
    12,473.97x = 17,200.08 × 10,198.23
  4. Step 4: Simplify right side
    12,473.97x = 175,410,371.86
  5. Step 5: Solve for x
    x = 175,410,371.86/12,473.97
  6. Step 6: Final answer
    x = 14,062.11

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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.