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Finding the Fourth Proportional to 9,793.59, 13,505.23 and 8,381.97

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Solution

The fourth proportional to 9,793.59, 13,505.23 and 8,381.97 is: 11,558.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,793.59 : 13,505.23 = 8,381.97 : x
  2. Step 2: Convert to fraction form
    9,793.59/13,505.23 = 8,381.97/x
  3. Step 3: Cross multiply
    9,793.59x = 13,505.23 × 8,381.97
  4. Step 4: Simplify right side
    9,793.59x = 113,200,432.70
  5. Step 5: Solve for x
    x = 113,200,432.70/9,793.59
  6. Step 6: Final answer
    x = 11,558.62

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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.