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Finding the Fourth Proportional to 11,900.14, 17,827.11 and 6,351.64

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Solution

The fourth proportional to 11,900.14, 17,827.11 and 6,351.64 is: 9,515.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,900.14 : 17,827.11 = 6,351.64 : x
  2. Step 2: Convert to fraction form
    11,900.14/17,827.11 = 6,351.64/x
  3. Step 3: Cross multiply
    11,900.14x = 17,827.11 × 6,351.64
  4. Step 4: Simplify right side
    11,900.14x = 113,231,340.39
  5. Step 5: Solve for x
    x = 113,231,340.39/11,900.14
  6. Step 6: Final answer
    x = 9,515.13

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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.