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Finding the Fourth Proportional to 13,736.88, 18,956.68 and 7,449.20

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Solution

The fourth proportional to 13,736.88, 18,956.68 and 7,449.20 is: 10,279.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,736.88 : 18,956.68 = 7,449.20 : x
  2. Step 2: Convert to fraction form
    13,736.88/18,956.68 = 7,449.20/x
  3. Step 3: Cross multiply
    13,736.88x = 18,956.68 × 7,449.20
  4. Step 4: Simplify right side
    13,736.88x = 141,212,100.66
  5. Step 5: Solve for x
    x = 141,212,100.66/13,736.88
  6. Step 6: Final answer
    x = 10,279.78

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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.