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Finding the Fourth Proportional to 6,512.40, 9,762.12 and 3,227.85

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Solution

The fourth proportional to 6,512.40, 9,762.12 and 3,227.85 is: 4,838.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,512.40 : 9,762.12 = 3,227.85 : x
  2. Step 2: Convert to fraction form
    6,512.40/9,762.12 = 3,227.85/x
  3. Step 3: Cross multiply
    6,512.40x = 9,762.12 × 3,227.85
  4. Step 4: Simplify right side
    6,512.40x = 31,510,659.04
  5. Step 5: Solve for x
    x = 31,510,659.04/6,512.40
  6. Step 6: Final answer
    x = 4,838.56

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1.5x scale

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.