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Finding the Fourth Proportional to 11,853.72, 17,774.78 and 6,924.60

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Solution

The fourth proportional to 11,853.72, 17,774.78 and 6,924.60 is: 10,383.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,853.72 : 17,774.78 = 6,924.60 : x
  2. Step 2: Convert to fraction form
    11,853.72/17,774.78 = 6,924.60/x
  3. Step 3: Cross multiply
    11,853.72x = 17,774.78 × 6,924.60
  4. Step 4: Simplify right side
    11,853.72x = 123,083,241.59
  5. Step 5: Solve for x
    x = 123,083,241.59/11,853.72
  6. Step 6: Final answer
    x = 10,383.51

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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.