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Finding the Fourth Proportional to 4,965.32, 6,851.36 and 3,199.32

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Solution

The fourth proportional to 4,965.32, 6,851.36 and 3,199.32 is: 4,414.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,965.32 : 6,851.36 = 3,199.32 : x
  2. Step 2: Convert to fraction form
    4,965.32/6,851.36 = 3,199.32/x
  3. Step 3: Cross multiply
    4,965.32x = 6,851.36 × 3,199.32
  4. Step 4: Simplify right side
    4,965.32x = 21,919,693.08
  5. Step 5: Solve for x
    x = 21,919,693.08/4,965.32
  6. Step 6: Final answer
    x = 4,414.56

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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.