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Finding the Fourth Proportional to 6,815.99, 10,224.05 and 2,433.48

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Solution

The fourth proportional to 6,815.99, 10,224.05 and 2,433.48 is: 3,650.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,815.99 : 10,224.05 = 2,433.48 : x
  2. Step 2: Convert to fraction form
    6,815.99/10,224.05 = 2,433.48/x
  3. Step 3: Cross multiply
    6,815.99x = 10,224.05 × 2,433.48
  4. Step 4: Simplify right side
    6,815.99x = 24,880,021.19
  5. Step 5: Solve for x
    x = 24,880,021.19/6,815.99
  6. Step 6: Final answer
    x = 3,650.24

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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.