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Finding the Fourth Proportional to 11,568, 15,966 and 6,600

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Solution

The fourth proportional to 11,568, 15,966 and 6,600 is: 9,109.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,568 : 15,966 = 6,600 : x
  2. Step 2: Convert to fraction form
    11,568/15,966 = 6,600/x
  3. Step 3: Cross multiply
    11,568x = 15,966 × 6,600
  4. Step 4: Simplify right side
    11,568x = 105,375,600
  5. Step 5: Solve for x
    x = 105,375,600/11,568
  6. Step 6: Final answer
    x = 9,109.23

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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.