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Finding the Fourth Proportional to 6,710.96, 10,062 and 3,201.51

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Solution

The fourth proportional to 6,710.96, 10,062 and 3,201.51 is: 4,800.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,710.96 : 10,062 = 3,201.51 : x
  2. Step 2: Convert to fraction form
    6,710.96/10,062 = 3,201.51/x
  3. Step 3: Cross multiply
    6,710.96x = 10,062 × 3,201.51
  4. Step 4: Simplify right side
    6,710.96x = 32,213,603.05
  5. Step 5: Solve for x
    x = 32,213,603.05/6,710.96
  6. Step 6: Final answer
    x = 4,800.15

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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.