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Finding the Fourth Proportional to 6,878, 9,491.42 and 3,734.22

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Solution

The fourth proportional to 6,878, 9,491.42 and 3,734.22 is: 5,153.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,878 : 9,491.42 = 3,734.22 : x
  2. Step 2: Convert to fraction form
    6,878/9,491.42 = 3,734.22/x
  3. Step 3: Cross multiply
    6,878x = 9,491.42 × 3,734.22
  4. Step 4: Simplify right side
    6,878x = 35,443,050.39
  5. Step 5: Solve for x
    x = 35,443,050.39/6,878
  6. Step 6: Final answer
    x = 5,153.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.