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Finding the Fourth Proportional to 6,714.84, 10,062.52 and 3,786.90

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Solution

The fourth proportional to 6,714.84, 10,062.52 and 3,786.90 is: 5,674.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,714.84 : 10,062.52 = 3,786.90 : x
  2. Step 2: Convert to fraction form
    6,714.84/10,062.52 = 3,786.90/x
  3. Step 3: Cross multiply
    6,714.84x = 10,062.52 × 3,786.90
  4. Step 4: Simplify right side
    6,714.84x = 38,105,756.99
  5. Step 5: Solve for x
    x = 38,105,756.99/6,714.84
  6. Step 6: Final answer
    x = 5,674.86

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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.