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Finding the Fourth Proportional to 6,714, 9,266.40 and 3,919.50

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Solution

The fourth proportional to 6,714, 9,266.40 and 3,919.50 is: 5,409.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,714 : 9,266.40 = 3,919.50 : x
  2. Step 2: Convert to fraction form
    6,714/9,266.40 = 3,919.50/x
  3. Step 3: Cross multiply
    6,714x = 9,266.40 × 3,919.50
  4. Step 4: Simplify right side
    6,714x = 36,319,654.80
  5. Step 5: Solve for x
    x = 36,319,654.80/6,714
  6. Step 6: Final answer
    x = 5,409.54

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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.