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Finding the Fourth Proportional to 6,324.93, 9,525.11 and 5,513.31

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Solution

The fourth proportional to 6,324.93, 9,525.11 and 5,513.31 is: 8,302.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,324.93 : 9,525.11 = 5,513.31 : x
  2. Step 2: Convert to fraction form
    6,324.93/9,525.11 = 5,513.31/x
  3. Step 3: Cross multiply
    6,324.93x = 9,525.11 × 5,513.31
  4. Step 4: Simplify right side
    6,324.93x = 52,514,856.65
  5. Step 5: Solve for x
    x = 52,514,856.65/6,324.93
  6. Step 6: Final answer
    x = 8,302.84

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.