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Finding the Fourth Proportional to 6,893, 10,337.68 and 2,996.50

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Solution

The fourth proportional to 6,893, 10,337.68 and 2,996.50 is: 4,493.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,893 : 10,337.68 = 2,996.50 : x
  2. Step 2: Convert to fraction form
    6,893/10,337.68 = 2,996.50/x
  3. Step 3: Cross multiply
    6,893x = 10,337.68 × 2,996.50
  4. Step 4: Simplify right side
    6,893x = 30,976,858.12
  5. Step 5: Solve for x
    x = 30,976,858.12/6,893
  6. Step 6: Final answer
    x = 4,493.96

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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.