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Finding the Fourth Proportional to 6,510.74, 9,759.20 and 2,127.02

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Solution

The fourth proportional to 6,510.74, 9,759.20 and 2,127.02 is: 3,188.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,510.74 : 9,759.20 = 2,127.02 : x
  2. Step 2: Convert to fraction form
    6,510.74/9,759.20 = 2,127.02/x
  3. Step 3: Cross multiply
    6,510.74x = 9,759.20 × 2,127.02
  4. Step 4: Simplify right side
    6,510.74x = 20,758,013.58
  5. Step 5: Solve for x
    x = 20,758,013.58/6,510.74
  6. Step 6: Final answer
    x = 3,188.27

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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.