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Finding the Fourth Proportional to 8,663, 11,964.66 and 5,863.64

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Solution

The fourth proportional to 8,663, 11,964.66 and 5,863.64 is: 8,098.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,663 : 11,964.66 = 5,863.64 : x
  2. Step 2: Convert to fraction form
    8,663/11,964.66 = 5,863.64/x
  3. Step 3: Cross multiply
    8,663x = 11,964.66 × 5,863.64
  4. Step 4: Simplify right side
    8,663x = 70,156,458.96
  5. Step 5: Solve for x
    x = 70,156,458.96/8,663
  6. Step 6: Final answer
    x = 8,098.40

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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.