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Finding the Fourth Proportional to 9,704.32, 13,388.16 and 5,971.84

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Solution

The fourth proportional to 9,704.32, 13,388.16 and 5,971.84 is: 8,238.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,704.32 : 13,388.16 = 5,971.84 : x
  2. Step 2: Convert to fraction form
    9,704.32/13,388.16 = 5,971.84/x
  3. Step 3: Cross multiply
    9,704.32x = 13,388.16 × 5,971.84
  4. Step 4: Simplify right side
    9,704.32x = 79,951,949.41
  5. Step 5: Solve for x
    x = 79,951,949.41/9,704.32
  6. Step 6: Final answer
    x = 8,238.80

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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.