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Finding the Fourth Proportional to 11,375.76, 17,063.69 and 6,214.44

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Solution

The fourth proportional to 11,375.76, 17,063.69 and 6,214.44 is: 9,321.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,375.76 : 17,063.69 = 6,214.44 : x
  2. Step 2: Convert to fraction form
    11,375.76/17,063.69 = 6,214.44/x
  3. Step 3: Cross multiply
    11,375.76x = 17,063.69 × 6,214.44
  4. Step 4: Simplify right side
    11,375.76x = 106,041,246.61
  5. Step 5: Solve for x
    x = 106,041,246.61/11,375.76
  6. Step 6: Final answer
    x = 9,321.68

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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.