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Finding the Fourth Proportional to 11,774.08, 17,651.92 and 8,065.12

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Solution

The fourth proportional to 11,774.08, 17,651.92 and 8,065.12 is: 12,091.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,774.08 : 17,651.92 = 8,065.12 : x
  2. Step 2: Convert to fraction form
    11,774.08/17,651.92 = 8,065.12/x
  3. Step 3: Cross multiply
    11,774.08x = 17,651.92 × 8,065.12
  4. Step 4: Simplify right side
    11,774.08x = 142,364,853.03
  5. Step 5: Solve for x
    x = 142,364,853.03/11,774.08
  6. Step 6: Final answer
    x = 12,091.38

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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.