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Finding the Fourth Proportional to 13,766.71, 18,999.21 and 8,462.83

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Solution

The fourth proportional to 13,766.71, 18,999.21 and 8,462.83 is: 11,679.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,766.71 : 18,999.21 = 8,462.83 : x
  2. Step 2: Convert to fraction form
    13,766.71/18,999.21 = 8,462.83/x
  3. Step 3: Cross multiply
    13,766.71x = 18,999.21 × 8,462.83
  4. Step 4: Simplify right side
    13,766.71x = 160,787,084.36
  5. Step 5: Solve for x
    x = 160,787,084.36/13,766.71
  6. Step 6: Final answer
    x = 11,679.41

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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.