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Finding the Fourth Proportional to 6,314.15, 8,714.31 and 3,797.58

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Solution

The fourth proportional to 6,314.15, 8,714.31 and 3,797.58 is: 5,241.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,314.15 : 8,714.31 = 3,797.58 : x
  2. Step 2: Convert to fraction form
    6,314.15/8,714.31 = 3,797.58/x
  3. Step 3: Cross multiply
    6,314.15x = 8,714.31 × 3,797.58
  4. Step 4: Simplify right side
    6,314.15x = 33,093,289.37
  5. Step 5: Solve for x
    x = 33,093,289.37/6,314.15
  6. Step 6: Final answer
    x = 5,241.14

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1.5x scale

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.