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Finding the Fourth Proportional to 6,778, 10,167.06 and 2,674

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Solution

The fourth proportional to 6,778, 10,167.06 and 2,674 is: 4,011.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,778 : 10,167.06 = 2,674 : x
  2. Step 2: Convert to fraction form
    6,778/10,167.06 = 2,674/x
  3. Step 3: Cross multiply
    6,778x = 10,167.06 × 2,674
  4. Step 4: Simplify right side
    6,778x = 27,186,718.44
  5. Step 5: Solve for x
    x = 27,186,718.44/6,778
  6. Step 6: Final answer
    x = 4,011.02

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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.