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Finding the Fourth Proportional to 6,897.28, 10,339.74 and 2,734.50

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Solution

The fourth proportional to 6,897.28, 10,339.74 and 2,734.50 is: 4,099.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,897.28 : 10,339.74 = 2,734.50 : x
  2. Step 2: Convert to fraction form
    6,897.28/10,339.74 = 2,734.50/x
  3. Step 3: Cross multiply
    6,897.28x = 10,339.74 × 2,734.50
  4. Step 4: Simplify right side
    6,897.28x = 28,274,019.03
  5. Step 5: Solve for x
    x = 28,274,019.03/6,897.28
  6. Step 6: Final answer
    x = 4,099.30

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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.