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Finding the Fourth Proportional to 6,967.53, 10,446.42 and 2,584.41

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Solution

The fourth proportional to 6,967.53, 10,446.42 and 2,584.41 is: 3,874.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,967.53 : 10,446.42 = 2,584.41 : x
  2. Step 2: Convert to fraction form
    6,967.53/10,446.42 = 2,584.41/x
  3. Step 3: Cross multiply
    6,967.53x = 10,446.42 × 2,584.41
  4. Step 4: Simplify right side
    6,967.53x = 26,997,832.31
  5. Step 5: Solve for x
    x = 26,997,832.31/6,967.53
  6. Step 6: Final answer
    x = 3,874.81

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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.