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Finding the Fourth Proportional to 12,299.97, 18,462.93 and 5,732.49

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Solution

The fourth proportional to 12,299.97, 18,462.93 and 5,732.49 is: 8,604.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,299.97 : 18,462.93 = 5,732.49 : x
  2. Step 2: Convert to fraction form
    12,299.97/18,462.93 = 5,732.49/x
  3. Step 3: Cross multiply
    12,299.97x = 18,462.93 × 5,732.49
  4. Step 4: Simplify right side
    12,299.97x = 105,838,561.60
  5. Step 5: Solve for x
    x = 105,838,561.60/12,299.97
  6. Step 6: Final answer
    x = 8,604.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.