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Finding the Fourth Proportional to 6,716, 10,074 and 2,612

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Solution

The fourth proportional to 6,716, 10,074 and 2,612 is: 3,918

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,716 : 10,074 = 2,612 : x
  2. Step 2: Convert to fraction form
    6,716/10,074 = 2,612/x
  3. Step 3: Cross multiply
    6,716x = 10,074 × 2,612
  4. Step 4: Simplify right side
    6,716x = 26,313,288
  5. Step 5: Solve for x
    x = 26,313,288/6,716
  6. Step 6: Final answer
    x = 3,918

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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.