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Finding the Fourth Proportional to 12,914.34, 19,375.11 and 6,676.62

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Solution

The fourth proportional to 12,914.34, 19,375.11 and 6,676.62 is: 10,016.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,914.34 : 19,375.11 = 6,676.62 : x
  2. Step 2: Convert to fraction form
    12,914.34/19,375.11 = 6,676.62/x
  3. Step 3: Cross multiply
    12,914.34x = 19,375.11 × 6,676.62
  4. Step 4: Simplify right side
    12,914.34x = 129,360,246.93
  5. Step 5: Solve for x
    x = 129,360,246.93/12,914.34
  6. Step 6: Final answer
    x = 10,016.79

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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.