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Finding the Fourth Proportional to 11,771.84, 17,657.49 and 5,926.88

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Solution

The fourth proportional to 11,771.84, 17,657.49 and 5,926.88 is: 8,890.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,771.84 : 17,657.49 = 5,926.88 : x
  2. Step 2: Convert to fraction form
    11,771.84/17,657.49 = 5,926.88/x
  3. Step 3: Cross multiply
    11,771.84x = 17,657.49 × 5,926.88
  4. Step 4: Simplify right side
    11,771.84x = 104,653,824.33
  5. Step 5: Solve for x
    x = 104,653,824.33/11,771.84
  6. Step 6: Final answer
    x = 8,890.18

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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.