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Finding the Fourth Proportional to 11,893.37, 17,824.30 and 6,334.74

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Solution

The fourth proportional to 11,893.37, 17,824.30 and 6,334.74 is: 9,493.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,893.37 : 17,824.30 = 6,334.74 : x
  2. Step 2: Convert to fraction form
    11,893.37/17,824.30 = 6,334.74/x
  3. Step 3: Cross multiply
    11,893.37x = 17,824.30 × 6,334.74
  4. Step 4: Simplify right side
    11,893.37x = 112,912,290.35
  5. Step 5: Solve for x
    x = 112,912,290.35/11,893.37
  6. Step 6: Final answer
    x = 9,493.72

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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.