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Finding the Fourth Proportional to 6,892.49, 10,337.17 and 1,962.02

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Solution

The fourth proportional to 6,892.49, 10,337.17 and 1,962.02 is: 2,942.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,892.49 : 10,337.17 = 1,962.02 : x
  2. Step 2: Convert to fraction form
    6,892.49/10,337.17 = 1,962.02/x
  3. Step 3: Cross multiply
    6,892.49x = 10,337.17 × 1,962.02
  4. Step 4: Simplify right side
    6,892.49x = 20,281,734.28
  5. Step 5: Solve for x
    x = 20,281,734.28/6,892.49
  6. Step 6: Final answer
    x = 2,942.58

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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.