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Finding the Fourth Proportional to 8,274.72, 12,411.84 and 2,431.44

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Solution

The fourth proportional to 8,274.72, 12,411.84 and 2,431.44 is: 3,647.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,274.72 : 12,411.84 = 2,431.44 : x
  2. Step 2: Convert to fraction form
    8,274.72/12,411.84 = 2,431.44/x
  3. Step 3: Cross multiply
    8,274.72x = 12,411.84 × 2,431.44
  4. Step 4: Simplify right side
    8,274.72x = 30,178,644.25
  5. Step 5: Solve for x
    x = 30,178,644.25/8,274.72
  6. Step 6: Final answer
    x = 3,647.09

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1.5x scale

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.