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Finding the Fourth Proportional to 6,644.06, 9,967.80 and 2,027.06

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Solution

The fourth proportional to 6,644.06, 9,967.80 and 2,027.06 is: 3,041.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,644.06 : 9,967.80 = 2,027.06 : x
  2. Step 2: Convert to fraction form
    6,644.06/9,967.80 = 2,027.06/x
  3. Step 3: Cross multiply
    6,644.06x = 9,967.80 × 2,027.06
  4. Step 4: Simplify right side
    6,644.06x = 20,205,328.67
  5. Step 5: Solve for x
    x = 20,205,328.67/6,644.06
  6. Step 6: Final answer
    x = 3,041.11

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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.