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Finding the Fourth Proportional to 13,914.25, 19,201.67 and 7,626.49

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Solution

The fourth proportional to 13,914.25, 19,201.67 and 7,626.49 is: 10,524.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,914.25 : 19,201.67 = 7,626.49 : x
  2. Step 2: Convert to fraction form
    13,914.25/19,201.67 = 7,626.49/x
  3. Step 3: Cross multiply
    13,914.25x = 19,201.67 × 7,626.49
  4. Step 4: Simplify right side
    13,914.25x = 146,441,344.24
  5. Step 5: Solve for x
    x = 146,441,344.24/13,914.25
  6. Step 6: Final answer
    x = 10,524.56

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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.