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Finding the Fourth Proportional to 6,645.96, 9,968.34 and 2,028.96

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Solution

The fourth proportional to 6,645.96, 9,968.34 and 2,028.96 is: 3,043.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,645.96 : 9,968.34 = 2,028.96 : x
  2. Step 2: Convert to fraction form
    6,645.96/9,968.34 = 2,028.96/x
  3. Step 3: Cross multiply
    6,645.96x = 9,968.34 × 2,028.96
  4. Step 4: Simplify right side
    6,645.96x = 20,225,363.13
  5. Step 5: Solve for x
    x = 20,225,363.13/6,645.96
  6. Step 6: Final answer
    x = 3,043.26

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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.