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Finding the Fourth Proportional to 6,892.62, 10,379.46 and 4,958.34

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Solution

The fourth proportional to 6,892.62, 10,379.46 and 4,958.34 is: 7,466.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,892.62 : 10,379.46 = 4,958.34 : x
  2. Step 2: Convert to fraction form
    6,892.62/10,379.46 = 4,958.34/x
  3. Step 3: Cross multiply
    6,892.62x = 10,379.46 × 4,958.34
  4. Step 4: Simplify right side
    6,892.62x = 51,464,891.70
  5. Step 5: Solve for x
    x = 51,464,891.70/6,892.62
  6. Step 6: Final answer
    x = 7,466.67

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.