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Finding the Fourth Proportional to 6,800.76, 10,201.14 and 3,512.16

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Solution

The fourth proportional to 6,800.76, 10,201.14 and 3,512.16 is: 5,268.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,800.76 : 10,201.14 = 3,512.16 : x
  2. Step 2: Convert to fraction form
    6,800.76/10,201.14 = 3,512.16/x
  3. Step 3: Cross multiply
    6,800.76x = 10,201.14 × 3,512.16
  4. Step 4: Simplify right side
    6,800.76x = 35,828,035.86
  5. Step 5: Solve for x
    x = 35,828,035.86/6,800.76
  6. Step 6: Final answer
    x = 5,268.24

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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.