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Finding the Fourth Proportional to 13,729.75, 18,941.64 and 8,955.25

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Solution

The fourth proportional to 13,729.75, 18,941.64 and 8,955.25 is: 12,354.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,729.75 : 18,941.64 = 8,955.25 : x
  2. Step 2: Convert to fraction form
    13,729.75/18,941.64 = 8,955.25/x
  3. Step 3: Cross multiply
    13,729.75x = 18,941.64 × 8,955.25
  4. Step 4: Simplify right side
    13,729.75x = 169,627,121.61
  5. Step 5: Solve for x
    x = 169,627,121.61/13,729.75
  6. Step 6: Final answer
    x = 12,354.71

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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.