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Finding the Fourth Proportional to 4,766.82, 6,578.48 and 2,642.31

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Solution

The fourth proportional to 4,766.82, 6,578.48 and 2,642.31 is: 3,646.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,766.82 : 6,578.48 = 2,642.31 : x
  2. Step 2: Convert to fraction form
    4,766.82/6,578.48 = 2,642.31/x
  3. Step 3: Cross multiply
    4,766.82x = 6,578.48 × 2,642.31
  4. Step 4: Simplify right side
    4,766.82x = 17,382,383.49
  5. Step 5: Solve for x
    x = 17,382,383.49/4,766.82
  6. Step 6: Final answer
    x = 3,646.54

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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.