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Finding the Fourth Proportional to 9,843.18, 13,586.88 and 5,865.54

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Solution

The fourth proportional to 9,843.18, 13,586.88 and 5,865.54 is: 8,096.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,843.18 : 13,586.88 = 5,865.54 : x
  2. Step 2: Convert to fraction form
    9,843.18/13,586.88 = 5,865.54/x
  3. Step 3: Cross multiply
    9,843.18x = 13,586.88 × 5,865.54
  4. Step 4: Simplify right side
    9,843.18x = 79,694,388.12
  5. Step 5: Solve for x
    x = 79,694,388.12/9,843.18
  6. Step 6: Final answer
    x = 8,096.41

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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.