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Finding the Fourth Proportional to 9,708.54, 13,399.32 and 5,933.90

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Solution

The fourth proportional to 9,708.54, 13,399.32 and 5,933.90 is: 8,189.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,708.54 : 13,399.32 = 5,933.90 : x
  2. Step 2: Convert to fraction form
    9,708.54/13,399.32 = 5,933.90/x
  3. Step 3: Cross multiply
    9,708.54x = 13,399.32 × 5,933.90
  4. Step 4: Simplify right side
    9,708.54x = 79,510,157.95
  5. Step 5: Solve for x
    x = 79,510,157.95/9,708.54
  6. Step 6: Final answer
    x = 8,189.71

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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.