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Finding the Fourth Proportional to 6,853.68, 10,271.30 and 3,147.74

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Solution

The fourth proportional to 6,853.68, 10,271.30 and 3,147.74 is: 4,717.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,853.68 : 10,271.30 = 3,147.74 : x
  2. Step 2: Convert to fraction form
    6,853.68/10,271.30 = 3,147.74/x
  3. Step 3: Cross multiply
    6,853.68x = 10,271.30 × 3,147.74
  4. Step 4: Simplify right side
    6,853.68x = 32,331,394.93
  5. Step 5: Solve for x
    x = 32,331,394.93/6,853.68
  6. Step 6: Final answer
    x = 4,717.38

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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.