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Finding the Fourth Proportional to 12,863.97, 17,752.60 and 7,198.68

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Solution

The fourth proportional to 12,863.97, 17,752.60 and 7,198.68 is: 9,934.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,863.97 : 17,752.60 = 7,198.68 : x
  2. Step 2: Convert to fraction form
    12,863.97/17,752.60 = 7,198.68/x
  3. Step 3: Cross multiply
    12,863.97x = 17,752.60 × 7,198.68
  4. Step 4: Simplify right side
    12,863.97x = 127,795,197.81
  5. Step 5: Solve for x
    x = 127,795,197.81/12,863.97
  6. Step 6: Final answer
    x = 9,934.35

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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.