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Finding the Fourth Proportional to 11,863.11, 17,783.04 and 6,600.64

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Solution

The fourth proportional to 11,863.11, 17,783.04 and 6,600.64 is: 9,894.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,863.11 : 17,783.04 = 6,600.64 : x
  2. Step 2: Convert to fraction form
    11,863.11/17,783.04 = 6,600.64/x
  3. Step 3: Cross multiply
    11,863.11x = 17,783.04 × 6,600.64
  4. Step 4: Simplify right side
    11,863.11x = 117,379,458.78
  5. Step 5: Solve for x
    x = 117,379,458.78/11,863.11
  6. Step 6: Final answer
    x = 9,894.49

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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.