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Finding the Fourth Proportional to 4,714.56, 7,071.84 and 3,249.30

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Solution

The fourth proportional to 4,714.56, 7,071.84 and 3,249.30 is: 4,873.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,714.56 : 7,071.84 = 3,249.30 : x
  2. Step 2: Convert to fraction form
    4,714.56/7,071.84 = 3,249.30/x
  3. Step 3: Cross multiply
    4,714.56x = 7,071.84 × 3,249.30
  4. Step 4: Simplify right side
    4,714.56x = 22,978,529.71
  5. Step 5: Solve for x
    x = 22,978,529.71/4,714.56
  6. Step 6: Final answer
    x = 4,873.95

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1.5x scale

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.