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Finding the Fourth Proportional to 6,628.06, 9,942.03 and 2,011.06

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Solution

The fourth proportional to 6,628.06, 9,942.03 and 2,011.06 is: 3,016.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,628.06 : 9,942.03 = 2,011.06 : x
  2. Step 2: Convert to fraction form
    6,628.06/9,942.03 = 2,011.06/x
  3. Step 3: Cross multiply
    6,628.06x = 9,942.03 × 2,011.06
  4. Step 4: Simplify right side
    6,628.06x = 19,994,018.85
  5. Step 5: Solve for x
    x = 19,994,018.85/6,628.06
  6. Step 6: Final answer
    x = 3,016.57

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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.