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Finding the Fourth Proportional to 13,764.38, 18,996.48 and 8,175.38

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Solution

The fourth proportional to 13,764.38, 18,996.48 and 8,175.38 is: 11,282.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,764.38 : 18,996.48 = 8,175.38 : x
  2. Step 2: Convert to fraction form
    13,764.38/18,996.48 = 8,175.38/x
  3. Step 3: Cross multiply
    13,764.38x = 18,996.48 × 8,175.38
  4. Step 4: Simplify right side
    13,764.38x = 155,303,347.68
  5. Step 5: Solve for x
    x = 155,303,347.68/13,764.38
  6. Step 6: Final answer
    x = 11,282.99

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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.