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Finding the Fourth Proportional to 4,676.74, 6,455.24 and 2,764.33

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Solution

The fourth proportional to 4,676.74, 6,455.24 and 2,764.33 is: 3,815.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,676.74 : 6,455.24 = 2,764.33 : x
  2. Step 2: Convert to fraction form
    4,676.74/6,455.24 = 2,764.33/x
  3. Step 3: Cross multiply
    4,676.74x = 6,455.24 × 2,764.33
  4. Step 4: Simplify right side
    4,676.74x = 17,844,418.20
  5. Step 5: Solve for x
    x = 17,844,418.20/4,676.74
  6. Step 6: Final answer
    x = 3,815.57

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1.5x scale

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.