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Finding the Fourth Proportional to 6,324.53, 8,728.14 and 3,636.62

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Solution

The fourth proportional to 6,324.53, 8,728.14 and 3,636.62 is: 5,018.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,324.53 : 8,728.14 = 3,636.62 : x
  2. Step 2: Convert to fraction form
    6,324.53/8,728.14 = 3,636.62/x
  3. Step 3: Cross multiply
    6,324.53x = 8,728.14 × 3,636.62
  4. Step 4: Simplify right side
    6,324.53x = 31,740,910.30
  5. Step 5: Solve for x
    x = 31,740,910.30/6,324.53
  6. Step 6: Final answer
    x = 5,018.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.