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Finding the Fourth Proportional to 9,272.62, 12,797.90 and 5,916.48

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Solution

The fourth proportional to 9,272.62, 12,797.90 and 5,916.48 is: 8,165.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,272.62 : 12,797.90 = 5,916.48 : x
  2. Step 2: Convert to fraction form
    9,272.62/12,797.90 = 5,916.48/x
  3. Step 3: Cross multiply
    9,272.62x = 12,797.90 × 5,916.48
  4. Step 4: Simplify right side
    9,272.62x = 75,718,519.39
  5. Step 5: Solve for x
    x = 75,718,519.39/9,272.62
  6. Step 6: Final answer
    x = 8,165.82

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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.