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Finding the Fourth Proportional to 13,754.88, 18,984.24 and 8,169.12

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Solution

The fourth proportional to 13,754.88, 18,984.24 and 8,169.12 is: 11,274.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,754.88 : 18,984.24 = 8,169.12 : x
  2. Step 2: Convert to fraction form
    13,754.88/18,984.24 = 8,169.12/x
  3. Step 3: Cross multiply
    13,754.88x = 18,984.24 × 8,169.12
  4. Step 4: Simplify right side
    13,754.88x = 155,084,534.67
  5. Step 5: Solve for x
    x = 155,084,534.67/13,754.88
  6. Step 6: Final answer
    x = 11,274.87

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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.