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Finding the Fourth Proportional to 6,474.80, 9,714.90 and 2,093.60

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Solution

The fourth proportional to 6,474.80, 9,714.90 and 2,093.60 is: 3,141.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,474.80 : 9,714.90 = 2,093.60 : x
  2. Step 2: Convert to fraction form
    6,474.80/9,714.90 = 2,093.60/x
  3. Step 3: Cross multiply
    6,474.80x = 9,714.90 × 2,093.60
  4. Step 4: Simplify right side
    6,474.80x = 20,339,114.64
  5. Step 5: Solve for x
    x = 20,339,114.64/6,474.80
  6. Step 6: Final answer
    x = 3,141.27

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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.