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Finding the Fourth Proportional to 6,676.75, 10,016.75 and 2,059.75

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Solution

The fourth proportional to 6,676.75, 10,016.75 and 2,059.75 is: 3,090.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,676.75 : 10,016.75 = 2,059.75 : x
  2. Step 2: Convert to fraction form
    6,676.75/10,016.75 = 2,059.75/x
  3. Step 3: Cross multiply
    6,676.75x = 10,016.75 × 2,059.75
  4. Step 4: Simplify right side
    6,676.75x = 20,632,000.81
  5. Step 5: Solve for x
    x = 20,632,000.81/6,676.75
  6. Step 6: Final answer
    x = 3,090.13

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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.