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Finding the Fourth Proportional to 11,800.49, 17,725.03 and 11,406.83

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Solution

The fourth proportional to 11,800.49, 17,725.03 and 11,406.83 is: 17,133.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,800.49 : 17,725.03 = 11,406.83 : x
  2. Step 2: Convert to fraction form
    11,800.49/17,725.03 = 11,406.83/x
  3. Step 3: Cross multiply
    11,800.49x = 17,725.03 × 11,406.83
  4. Step 4: Simplify right side
    11,800.49x = 202,186,286.81
  5. Step 5: Solve for x
    x = 202,186,286.81/11,800.49
  6. Step 6: Final answer
    x = 17,133.73

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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.