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Finding the Fourth Proportional to 6,968, 10,452 and 2,864

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Solution

The fourth proportional to 6,968, 10,452 and 2,864 is: 4,296

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,968 : 10,452 = 2,864 : x
  2. Step 2: Convert to fraction form
    6,968/10,452 = 2,864/x
  3. Step 3: Cross multiply
    6,968x = 10,452 × 2,864
  4. Step 4: Simplify right side
    6,968x = 29,934,528
  5. Step 5: Solve for x
    x = 29,934,528/6,968
  6. Step 6: Final answer
    x = 4,296

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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.