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Finding the Fourth Proportional to 6,216.64, 9,324.96 and 2,516.34

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Solution

The fourth proportional to 6,216.64, 9,324.96 and 2,516.34 is: 3,774.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,216.64 : 9,324.96 = 2,516.34 : x
  2. Step 2: Convert to fraction form
    6,216.64/9,324.96 = 2,516.34/x
  3. Step 3: Cross multiply
    6,216.64x = 9,324.96 × 2,516.34
  4. Step 4: Simplify right side
    6,216.64x = 23,464,769.85
  5. Step 5: Solve for x
    x = 23,464,769.85/6,216.64
  6. Step 6: Final answer
    x = 3,774.51

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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.