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Finding the Fourth Proportional to 6,771.06, 10,149.30 and 6,460.68

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Solution

The fourth proportional to 6,771.06, 10,149.30 and 6,460.68 is: 9,684.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,771.06 : 10,149.30 = 6,460.68 : x
  2. Step 2: Convert to fraction form
    6,771.06/10,149.30 = 6,460.68/x
  3. Step 3: Cross multiply
    6,771.06x = 10,149.30 × 6,460.68
  4. Step 4: Simplify right side
    6,771.06x = 65,571,379.52
  5. Step 5: Solve for x
    x = 65,571,379.52/6,771.06
  6. Step 6: Final answer
    x = 9,684.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.