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Finding the Fourth Proportional to 12,867.80, 17,757.72 and 7,202.90

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Solution

The fourth proportional to 12,867.80, 17,757.72 and 7,202.90 is: 9,940.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,867.80 : 17,757.72 = 7,202.90 : x
  2. Step 2: Convert to fraction form
    12,867.80/17,757.72 = 7,202.90/x
  3. Step 3: Cross multiply
    12,867.80x = 17,757.72 × 7,202.90
  4. Step 4: Simplify right side
    12,867.80x = 127,907,081.39
  5. Step 5: Solve for x
    x = 127,907,081.39/12,867.80
  6. Step 6: Final answer
    x = 9,940.09

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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.