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Finding the Fourth Proportional to 13,493.97, 18,624.06 and 8,462.48

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Solution

The fourth proportional to 13,493.97, 18,624.06 and 8,462.48 is: 11,679.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,493.97 : 18,624.06 = 8,462.48 : x
  2. Step 2: Convert to fraction form
    13,493.97/18,624.06 = 8,462.48/x
  3. Step 3: Cross multiply
    13,493.97x = 18,624.06 × 8,462.48
  4. Step 4: Simplify right side
    13,493.97x = 157,605,642.15
  5. Step 5: Solve for x
    x = 157,605,642.15/13,493.97
  6. Step 6: Final answer
    x = 11,679.71

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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.