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Finding the Fourth Proportional to 6,920.85, 10,382.78 and 2,241.34

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Solution

The fourth proportional to 6,920.85, 10,382.78 and 2,241.34 is: 3,362.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,920.85 : 10,382.78 = 2,241.34 : x
  2. Step 2: Convert to fraction form
    6,920.85/10,382.78 = 2,241.34/x
  3. Step 3: Cross multiply
    6,920.85x = 10,382.78 × 2,241.34
  4. Step 4: Simplify right side
    6,920.85x = 23,271,319.77
  5. Step 5: Solve for x
    x = 23,271,319.77/6,920.85
  6. Step 6: Final answer
    x = 3,362.49

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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.