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Finding the Fourth Proportional to 6,771.97, 10,159.23 and 3,074.46

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Solution

The fourth proportional to 6,771.97, 10,159.23 and 3,074.46 is: 4,612.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,771.97 : 10,159.23 = 3,074.46 : x
  2. Step 2: Convert to fraction form
    6,771.97/10,159.23 = 3,074.46/x
  3. Step 3: Cross multiply
    6,771.97x = 10,159.23 × 3,074.46
  4. Step 4: Simplify right side
    6,771.97x = 31,234,130.89
  5. Step 5: Solve for x
    x = 31,234,130.89/6,771.97
  6. Step 6: Final answer
    x = 4,612.27

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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.