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Finding the Fourth Proportional to 6,974.48, 10,461.19 and 2,294.64

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Solution

The fourth proportional to 6,974.48, 10,461.19 and 2,294.64 is: 3,441.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,974.48 : 10,461.19 = 2,294.64 : x
  2. Step 2: Convert to fraction form
    6,974.48/10,461.19 = 2,294.64/x
  3. Step 3: Cross multiply
    6,974.48x = 10,461.19 × 2,294.64
  4. Step 4: Simplify right side
    6,974.48x = 24,004,665.02
  5. Step 5: Solve for x
    x = 24,004,665.02/6,974.48
  6. Step 6: Final answer
    x = 3,441.79

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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.