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Finding the Fourth Proportional to 13,682.58, 18,881.01 and 8,092.50

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Solution

The fourth proportional to 13,682.58, 18,881.01 and 8,092.50 is: 11,167.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,682.58 : 18,881.01 = 8,092.50 : x
  2. Step 2: Convert to fraction form
    13,682.58/18,881.01 = 8,092.50/x
  3. Step 3: Cross multiply
    13,682.58x = 18,881.01 × 8,092.50
  4. Step 4: Simplify right side
    13,682.58x = 152,794,573.43
  5. Step 5: Solve for x
    x = 152,794,573.43/13,682.58
  6. Step 6: Final answer
    x = 11,167.09

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.