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Finding the Fourth Proportional to 6,472.50, 9,707.94 and 2,961.48

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Solution

The fourth proportional to 6,472.50, 9,707.94 and 2,961.48 is: 4,441.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,472.50 : 9,707.94 = 2,961.48 : x
  2. Step 2: Convert to fraction form
    6,472.50/9,707.94 = 2,961.48/x
  3. Step 3: Cross multiply
    6,472.50x = 9,707.94 × 2,961.48
  4. Step 4: Simplify right side
    6,472.50x = 28,749,870.15
  5. Step 5: Solve for x
    x = 28,749,870.15/6,472.50
  6. Step 6: Final answer
    x = 4,441.85

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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.