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Finding the Fourth Proportional to 6,545.28, 9,822.24 and 3,469.44

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Solution

The fourth proportional to 6,545.28, 9,822.24 and 3,469.44 is: 5,206.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,545.28 : 9,822.24 = 3,469.44 : x
  2. Step 2: Convert to fraction form
    6,545.28/9,822.24 = 3,469.44/x
  3. Step 3: Cross multiply
    6,545.28x = 9,822.24 × 3,469.44
  4. Step 4: Simplify right side
    6,545.28x = 34,077,672.35
  5. Step 5: Solve for x
    x = 34,077,672.35/6,545.28
  6. Step 6: Final answer
    x = 5,206.45

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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.