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Finding the Fourth Proportional to 6,213, 8,573.94 and 3,418.68

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Solution

The fourth proportional to 6,213, 8,573.94 and 3,418.68 is: 4,717.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,213 : 8,573.94 = 3,418.68 : x
  2. Step 2: Convert to fraction form
    6,213/8,573.94 = 3,418.68/x
  3. Step 3: Cross multiply
    6,213x = 8,573.94 × 3,418.68
  4. Step 4: Simplify right side
    6,213x = 29,311,557.20
  5. Step 5: Solve for x
    x = 29,311,557.20/6,213
  6. Step 6: Final answer
    x = 4,717.78

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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.