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Finding the Fourth Proportional to 6,496.54, 8,965.92 and 3,980.32

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Solution

The fourth proportional to 6,496.54, 8,965.92 and 3,980.32 is: 5,493.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,496.54 : 8,965.92 = 3,980.32 : x
  2. Step 2: Convert to fraction form
    6,496.54/8,965.92 = 3,980.32/x
  3. Step 3: Cross multiply
    6,496.54x = 8,965.92 × 3,980.32
  4. Step 4: Simplify right side
    6,496.54x = 35,687,230.69
  5. Step 5: Solve for x
    x = 35,687,230.69/6,496.54
  6. Step 6: Final answer
    x = 5,493.27

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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.