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Finding the Fourth Proportional to 15,215.64, 20,991.09 and 9,546.54

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Solution

The fourth proportional to 15,215.64, 20,991.09 and 9,546.54 is: 13,170.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,215.64 : 20,991.09 = 9,546.54 : x
  2. Step 2: Convert to fraction form
    15,215.64/20,991.09 = 9,546.54/x
  3. Step 3: Cross multiply
    15,215.64x = 20,991.09 × 9,546.54
  4. Step 4: Simplify right side
    15,215.64x = 200,392,280.33
  5. Step 5: Solve for x
    x = 200,392,280.33/15,215.64
  6. Step 6: Final answer
    x = 13,170.15

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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.