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Finding the Fourth Proportional to 11,914.54, 16,443.02 and 6,609.24

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Solution

The fourth proportional to 11,914.54, 16,443.02 and 6,609.24 is: 9,121.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,914.54 : 16,443.02 = 6,609.24 : x
  2. Step 2: Convert to fraction form
    11,914.54/16,443.02 = 6,609.24/x
  3. Step 3: Cross multiply
    11,914.54x = 16,443.02 × 6,609.24
  4. Step 4: Simplify right side
    11,914.54x = 108,675,865.50
  5. Step 5: Solve for x
    x = 108,675,865.50/11,914.54
  6. Step 6: Final answer
    x = 9,121.28

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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.