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Finding the Fourth Proportional to 6,301.22, 8,697.66 and 4,063.12

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Solution

The fourth proportional to 6,301.22, 8,697.66 and 4,063.12 is: 5,608.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,301.22 : 8,697.66 = 4,063.12 : x
  2. Step 2: Convert to fraction form
    6,301.22/8,697.66 = 4,063.12/x
  3. Step 3: Cross multiply
    6,301.22x = 8,697.66 × 4,063.12
  4. Step 4: Simplify right side
    6,301.22x = 35,339,636.30
  5. Step 5: Solve for x
    x = 35,339,636.30/6,301.22
  6. Step 6: Final answer
    x = 5,608.38

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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.