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Finding the Fourth Proportional to 6,512.06, 9,768.09 and 1,581.62

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Solution

The fourth proportional to 6,512.06, 9,768.09 and 1,581.62 is: 2,372.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,512.06 : 9,768.09 = 1,581.62 : x
  2. Step 2: Convert to fraction form
    6,512.06/9,768.09 = 1,581.62/x
  3. Step 3: Cross multiply
    6,512.06x = 9,768.09 × 1,581.62
  4. Step 4: Simplify right side
    6,512.06x = 15,449,406.51
  5. Step 5: Solve for x
    x = 15,449,406.51/6,512.06
  6. Step 6: Final answer
    x = 2,372.43

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.