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Finding the Fourth Proportional to 6,751.85, 10,124.37 and 3,941.64

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Solution

The fourth proportional to 6,751.85, 10,124.37 and 3,941.64 is: 5,910.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,751.85 : 10,124.37 = 3,941.64 : x
  2. Step 2: Convert to fraction form
    6,751.85/10,124.37 = 3,941.64/x
  3. Step 3: Cross multiply
    6,751.85x = 10,124.37 × 3,941.64
  4. Step 4: Simplify right side
    6,751.85x = 39,906,621.77
  5. Step 5: Solve for x
    x = 39,906,621.77/6,751.85
  6. Step 6: Final answer
    x = 5,910.48

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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.