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Finding the Fourth Proportional to 6,411.85, 9,619.01 and 2,462.81

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Solution

The fourth proportional to 6,411.85, 9,619.01 and 2,462.81 is: 3,694.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,411.85 : 9,619.01 = 2,462.81 : x
  2. Step 2: Convert to fraction form
    6,411.85/9,619.01 = 2,462.81/x
  3. Step 3: Cross multiply
    6,411.85x = 9,619.01 × 2,462.81
  4. Step 4: Simplify right side
    6,411.85x = 23,689,824.22
  5. Step 5: Solve for x
    x = 23,689,824.22/6,411.85
  6. Step 6: Final answer
    x = 3,694.70

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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.