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Finding the Fourth Proportional to 6,967.78, 10,452.28 and 2,585.28

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Solution

The fourth proportional to 6,967.78, 10,452.28 and 2,585.28 is: 3,878.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,967.78 : 10,452.28 = 2,585.28 : x
  2. Step 2: Convert to fraction form
    6,967.78/10,452.28 = 2,585.28/x
  3. Step 3: Cross multiply
    6,967.78x = 10,452.28 × 2,585.28
  4. Step 4: Simplify right side
    6,967.78x = 27,022,070.44
  5. Step 5: Solve for x
    x = 27,022,070.44/6,967.78
  6. Step 6: Final answer
    x = 3,878.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.