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Finding the Fourth Proportional to 6,857.84, 9,463.77 and 3,714

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Solution

The fourth proportional to 6,857.84, 9,463.77 and 3,714 is: 5,125.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,857.84 : 9,463.77 = 3,714 : x
  2. Step 2: Convert to fraction form
    6,857.84/9,463.77 = 3,714/x
  3. Step 3: Cross multiply
    6,857.84x = 9,463.77 × 3,714
  4. Step 4: Simplify right side
    6,857.84x = 35,148,441.78
  5. Step 5: Solve for x
    x = 35,148,441.78/6,857.84
  6. Step 6: Final answer
    x = 5,125.30

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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.