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Finding the Fourth Proportional to 6,463.06, 9,695.12 and 2,765.33

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Solution

The fourth proportional to 6,463.06, 9,695.12 and 2,765.33 is: 4,148.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,463.06 : 9,695.12 = 2,765.33 : x
  2. Step 2: Convert to fraction form
    6,463.06/9,695.12 = 2,765.33/x
  3. Step 3: Cross multiply
    6,463.06x = 9,695.12 × 2,765.33
  4. Step 4: Simplify right side
    6,463.06x = 26,810,200.98
  5. Step 5: Solve for x
    x = 26,810,200.98/6,463.06
  6. Step 6: Final answer
    x = 4,148.22

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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.