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Finding the Fourth Proportional to 6,411.02, 9,614.36 and 2,250.32

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Solution

The fourth proportional to 6,411.02, 9,614.36 and 2,250.32 is: 3,374.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,411.02 : 9,614.36 = 2,250.32 : x
  2. Step 2: Convert to fraction form
    6,411.02/9,614.36 = 2,250.32/x
  3. Step 3: Cross multiply
    6,411.02x = 9,614.36 × 2,250.32
  4. Step 4: Simplify right side
    6,411.02x = 21,635,344.15
  5. Step 5: Solve for x
    x = 21,635,344.15/6,411.02
  6. Step 6: Final answer
    x = 3,374.71

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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.