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Finding the Fourth Proportional to 13,735.22, 18,954.97 and 8,426.88

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Solution

The fourth proportional to 13,735.22, 18,954.97 and 8,426.88 is: 11,629.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,735.22 : 18,954.97 = 8,426.88 : x
  2. Step 2: Convert to fraction form
    13,735.22/18,954.97 = 8,426.88/x
  3. Step 3: Cross multiply
    13,735.22x = 18,954.97 × 8,426.88
  4. Step 4: Simplify right side
    13,735.22x = 159,731,236.53
  5. Step 5: Solve for x
    x = 159,731,236.53/13,735.22
  6. Step 6: Final answer
    x = 11,629.32

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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.