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Finding the Fourth Proportional to 6,071.74, 9,107.67 and 1,911.66

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Solution

The fourth proportional to 6,071.74, 9,107.67 and 1,911.66 is: 2,867.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,071.74 : 9,107.67 = 1,911.66 : x
  2. Step 2: Convert to fraction form
    6,071.74/9,107.67 = 1,911.66/x
  3. Step 3: Cross multiply
    6,071.74x = 9,107.67 × 1,911.66
  4. Step 4: Simplify right side
    6,071.74x = 17,410,768.43
  5. Step 5: Solve for x
    x = 17,410,768.43/6,071.74
  6. Step 6: Final answer
    x = 2,867.51

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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.