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Finding the Fourth Proportional to 9,793.50, 13,505.16 and 8,713.41

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Solution

The fourth proportional to 9,793.50, 13,505.16 and 8,713.41 is: 12,015.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,793.50 : 13,505.16 = 8,713.41 : x
  2. Step 2: Convert to fraction form
    9,793.50/13,505.16 = 8,713.41/x
  3. Step 3: Cross multiply
    9,793.50x = 13,505.16 × 8,713.41
  4. Step 4: Simplify right side
    9,793.50x = 117,675,996.20
  5. Step 5: Solve for x
    x = 117,675,996.20/9,793.50
  6. Step 6: Final answer
    x = 12,015.72

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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.