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Finding the Fourth Proportional to 6,466.78, 8,924.17 and 3,672.28

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Solution

The fourth proportional to 6,466.78, 8,924.17 and 3,672.28 is: 5,067.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,466.78 : 8,924.17 = 3,672.28 : x
  2. Step 2: Convert to fraction form
    6,466.78/8,924.17 = 3,672.28/x
  3. Step 3: Cross multiply
    6,466.78x = 8,924.17 × 3,672.28
  4. Step 4: Simplify right side
    6,466.78x = 32,772,059.87
  5. Step 5: Solve for x
    x = 32,772,059.87/6,466.78
  6. Step 6: Final answer
    x = 5,067.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.