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Finding the Fourth Proportional to 13,768.82, 19,000.96 and 8,179.82

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Solution

The fourth proportional to 13,768.82, 19,000.96 and 8,179.82 is: 11,288.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,768.82 : 19,000.96 = 8,179.82 : x
  2. Step 2: Convert to fraction form
    13,768.82/19,000.96 = 8,179.82/x
  3. Step 3: Cross multiply
    13,768.82x = 19,000.96 × 8,179.82
  4. Step 4: Simplify right side
    13,768.82x = 155,424,337.62
  5. Step 5: Solve for x
    x = 155,424,337.62/13,768.82
  6. Step 6: Final answer
    x = 11,288.14

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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.