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Finding the Fourth Proportional to 6,914.10, 10,363.05 and 5,180.70

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Solution

The fourth proportional to 6,914.10, 10,363.05 and 5,180.70 is: 7,764.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,914.10 : 10,363.05 = 5,180.70 : x
  2. Step 2: Convert to fraction form
    6,914.10/10,363.05 = 5,180.70/x
  3. Step 3: Cross multiply
    6,914.10x = 10,363.05 × 5,180.70
  4. Step 4: Simplify right side
    6,914.10x = 53,687,853.14
  5. Step 5: Solve for x
    x = 53,687,853.14/6,914.10
  6. Step 6: Final answer
    x = 7,764.98

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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.