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Finding the Fourth Proportional to 8,517, 11,753.82 and 4,979.64

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Solution

The fourth proportional to 8,517, 11,753.82 and 4,979.64 is: 6,872.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,517 : 11,753.82 = 4,979.64 : x
  2. Step 2: Convert to fraction form
    8,517/11,753.82 = 4,979.64/x
  3. Step 3: Cross multiply
    8,517x = 11,753.82 × 4,979.64
  4. Step 4: Simplify right side
    8,517x = 58,529,792.22
  5. Step 5: Solve for x
    x = 58,529,792.22/8,517
  6. Step 6: Final answer
    x = 6,872.11

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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.