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Finding the Fourth Proportional to 8,274.71, 12,414.12 and 2,431.32

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Solution

The fourth proportional to 8,274.71, 12,414.12 and 2,431.32 is: 3,647.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,274.71 : 12,414.12 = 2,431.32 : x
  2. Step 2: Convert to fraction form
    8,274.71/12,414.12 = 2,431.32/x
  3. Step 3: Cross multiply
    8,274.71x = 12,414.12 × 2,431.32
  4. Step 4: Simplify right side
    8,274.71x = 30,182,698.24
  5. Step 5: Solve for x
    x = 30,182,698.24/8,274.71
  6. Step 6: Final answer
    x = 3,647.59

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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.