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Finding the Fourth Proportional to 13,766.94, 18,992.16 and 8,459.82

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Solution

The fourth proportional to 13,766.94, 18,992.16 and 8,459.82 is: 11,670.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,766.94 : 18,992.16 = 8,459.82 : x
  2. Step 2: Convert to fraction form
    13,766.94/18,992.16 = 8,459.82/x
  3. Step 3: Cross multiply
    13,766.94x = 18,992.16 × 8,459.82
  4. Step 4: Simplify right side
    13,766.94x = 160,670,255.01
  5. Step 5: Solve for x
    x = 160,670,255.01/13,766.94
  6. Step 6: Final answer
    x = 11,670.73

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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.