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Finding the Fourth Proportional to 6,797.74, 10,175.22 and 4,676.96

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Solution

The fourth proportional to 6,797.74, 10,175.22 and 4,676.96 is: 7,000.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,797.74 : 10,175.22 = 4,676.96 : x
  2. Step 2: Convert to fraction form
    6,797.74/10,175.22 = 4,676.96/x
  3. Step 3: Cross multiply
    6,797.74x = 10,175.22 × 4,676.96
  4. Step 4: Simplify right side
    6,797.74x = 47,589,046.06
  5. Step 5: Solve for x
    x = 47,589,046.06/6,797.74
  6. Step 6: Final answer
    x = 7,000.72

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1.5x scale

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.