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Finding the Fourth Proportional to 3,273.52, 4,910.28 and 964.84

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Solution

The fourth proportional to 3,273.52, 4,910.28 and 964.84 is: 1,447.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,273.52 : 4,910.28 = 964.84 : x
  2. Step 2: Convert to fraction form
    3,273.52/4,910.28 = 964.84/x
  3. Step 3: Cross multiply
    3,273.52x = 4,910.28 × 964.84
  4. Step 4: Simplify right side
    3,273.52x = 4,737,634.56
  5. Step 5: Solve for x
    x = 4,737,634.56/3,273.52
  6. Step 6: Final answer
    x = 1,447.26

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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.