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Finding the Fourth Proportional to 6,704, 10,056 and 2,757.12

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Solution

The fourth proportional to 6,704, 10,056 and 2,757.12 is: 4,135.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,704 : 10,056 = 2,757.12 : x
  2. Step 2: Convert to fraction form
    6,704/10,056 = 2,757.12/x
  3. Step 3: Cross multiply
    6,704x = 10,056 × 2,757.12
  4. Step 4: Simplify right side
    6,704x = 27,725,598.72
  5. Step 5: Solve for x
    x = 27,725,598.72/6,704
  6. Step 6: Final answer
    x = 4,135.68

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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.