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Finding the Fourth Proportional to 6,527.46, 9,791.46 and 1,910.46

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Solution

The fourth proportional to 6,527.46, 9,791.46 and 1,910.46 is: 2,865.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,527.46 : 9,791.46 = 1,910.46 : x
  2. Step 2: Convert to fraction form
    6,527.46/9,791.46 = 1,910.46/x
  3. Step 3: Cross multiply
    6,527.46x = 9,791.46 × 1,910.46
  4. Step 4: Simplify right side
    6,527.46x = 18,706,192.67
  5. Step 5: Solve for x
    x = 18,706,192.67/6,527.46
  6. Step 6: Final answer
    x = 2,865.77

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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.