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Finding the Fourth Proportional to 11,668, 16,103.36 and 6,700

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Solution

The fourth proportional to 11,668, 16,103.36 and 6,700 is: 9,246.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,668 : 16,103.36 = 6,700 : x
  2. Step 2: Convert to fraction form
    11,668/16,103.36 = 6,700/x
  3. Step 3: Cross multiply
    11,668x = 16,103.36 × 6,700
  4. Step 4: Simplify right side
    11,668x = 107,892,512
  5. Step 5: Solve for x
    x = 107,892,512/11,668
  6. Step 6: Final answer
    x = 9,246.87

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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.