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Finding the Fourth Proportional to 4,965.54, 6,851.13 and 3,199.44

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Solution

The fourth proportional to 4,965.54, 6,851.13 and 3,199.44 is: 4,414.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,965.54 : 6,851.13 = 3,199.44 : x
  2. Step 2: Convert to fraction form
    4,965.54/6,851.13 = 3,199.44/x
  3. Step 3: Cross multiply
    4,965.54x = 6,851.13 × 3,199.44
  4. Step 4: Simplify right side
    4,965.54x = 21,919,779.37
  5. Step 5: Solve for x
    x = 21,919,779.37/4,965.54
  6. Step 6: Final answer
    x = 4,414.38

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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.