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Finding the Fourth Proportional to 6,234.68, 8,603.62 and 3,402

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Solution

The fourth proportional to 6,234.68, 8,603.62 and 3,402 is: 4,694.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,234.68 : 8,603.62 = 3,402 : x
  2. Step 2: Convert to fraction form
    6,234.68/8,603.62 = 3,402/x
  3. Step 3: Cross multiply
    6,234.68x = 8,603.62 × 3,402
  4. Step 4: Simplify right side
    6,234.68x = 29,269,515.24
  5. Step 5: Solve for x
    x = 29,269,515.24/6,234.68
  6. Step 6: Final answer
    x = 4,694.63

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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.