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Finding the Fourth Proportional to 6,975, 10,462.41 and 3,274.65

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Solution

The fourth proportional to 6,975, 10,462.41 and 3,274.65 is: 4,911.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,975 : 10,462.41 = 3,274.65 : x
  2. Step 2: Convert to fraction form
    6,975/10,462.41 = 3,274.65/x
  3. Step 3: Cross multiply
    6,975x = 10,462.41 × 3,274.65
  4. Step 4: Simplify right side
    6,975x = 34,260,730.91
  5. Step 5: Solve for x
    x = 34,260,730.91/6,975
  6. Step 6: Final answer
    x = 4,911.93

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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.