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Finding the Fourth Proportional to 14,915.86, 20,584.38 and 8,201.73

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Solution

The fourth proportional to 14,915.86, 20,584.38 and 8,201.73 is: 11,318.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,915.86 : 20,584.38 = 8,201.73 : x
  2. Step 2: Convert to fraction form
    14,915.86/20,584.38 = 8,201.73/x
  3. Step 3: Cross multiply
    14,915.86x = 20,584.38 × 8,201.73
  4. Step 4: Simplify right side
    14,915.86x = 168,827,526.98
  5. Step 5: Solve for x
    x = 168,827,526.98/14,915.86
  6. Step 6: Final answer
    x = 11,318.66

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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.