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Finding the Fourth Proportional to 6,323.20, 9,463.20 and 5,545.60

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Solution

The fourth proportional to 6,323.20, 9,463.20 and 5,545.60 is: 8,299.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,323.20 : 9,463.20 = 5,545.60 : x
  2. Step 2: Convert to fraction form
    6,323.20/9,463.20 = 5,545.60/x
  3. Step 3: Cross multiply
    6,323.20x = 9,463.20 × 5,545.60
  4. Step 4: Simplify right side
    6,323.20x = 52,479,121.92
  5. Step 5: Solve for x
    x = 52,479,121.92/6,323.20
  6. Step 6: Final answer
    x = 8,299.46

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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.