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Finding the Fourth Proportional to 11,656.84, 17,476.16 and 7,949.88

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Solution

The fourth proportional to 11,656.84, 17,476.16 and 7,949.88 is: 11,918.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,656.84 : 17,476.16 = 7,949.88 : x
  2. Step 2: Convert to fraction form
    11,656.84/17,476.16 = 7,949.88/x
  3. Step 3: Cross multiply
    11,656.84x = 17,476.16 × 7,949.88
  4. Step 4: Simplify right side
    11,656.84x = 138,933,374.86
  5. Step 5: Solve for x
    x = 138,933,374.86/11,656.84
  6. Step 6: Final answer
    x = 11,918.61

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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.