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Finding the Fourth Proportional to 13,768.25, 19,001.81 and 8,179.25

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Solution

The fourth proportional to 13,768.25, 19,001.81 and 8,179.25 is: 11,288.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,768.25 : 19,001.81 = 8,179.25 : x
  2. Step 2: Convert to fraction form
    13,768.25/19,001.81 = 8,179.25/x
  3. Step 3: Cross multiply
    13,768.25x = 19,001.81 × 8,179.25
  4. Step 4: Simplify right side
    13,768.25x = 155,420,513.55
  5. Step 5: Solve for x
    x = 155,420,513.55/13,768.25
  6. Step 6: Final answer
    x = 11,288.33

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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.