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Finding the Fourth Proportional to 9,817.20, 13,546.80 and 5,839.20

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Solution

The fourth proportional to 9,817.20, 13,546.80 and 5,839.20 is: 8,057.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,817.20 : 13,546.80 = 5,839.20 : x
  2. Step 2: Convert to fraction form
    9,817.20/13,546.80 = 5,839.20/x
  3. Step 3: Cross multiply
    9,817.20x = 13,546.80 × 5,839.20
  4. Step 4: Simplify right side
    9,817.20x = 79,102,474.56
  5. Step 5: Solve for x
    x = 79,102,474.56/9,817.20
  6. Step 6: Final answer
    x = 8,057.54

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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.