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Finding the Fourth Proportional to 12,640.14, 17,443.83 and 6,975.09

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Solution

The fourth proportional to 12,640.14, 17,443.83 and 6,975.09 is: 9,625.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,640.14 : 17,443.83 = 6,975.09 : x
  2. Step 2: Convert to fraction form
    12,640.14/17,443.83 = 6,975.09/x
  3. Step 3: Cross multiply
    12,640.14x = 17,443.83 × 6,975.09
  4. Step 4: Simplify right side
    12,640.14x = 121,672,327.80
  5. Step 5: Solve for x
    x = 121,672,327.80/12,640.14
  6. Step 6: Final answer
    x = 9,625.87

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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.