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Finding the Fourth Proportional to 10,183.20, 15,282 and 6,020.64

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Solution

The fourth proportional to 10,183.20, 15,282 and 6,020.64 is: 9,035.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,183.20 : 15,282 = 6,020.64 : x
  2. Step 2: Convert to fraction form
    10,183.20/15,282 = 6,020.64/x
  3. Step 3: Cross multiply
    10,183.20x = 15,282 × 6,020.64
  4. Step 4: Simplify right side
    10,183.20x = 92,007,420.48
  5. Step 5: Solve for x
    x = 92,007,420.48/10,183.20
  6. Step 6: Final answer
    x = 9,035.22

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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.