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Finding the Fourth Proportional to 8,546.48, 11,786.74 and 5,561.20

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Solution

The fourth proportional to 8,546.48, 11,786.74 and 5,561.20 is: 7,669.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,546.48 : 11,786.74 = 5,561.20 : x
  2. Step 2: Convert to fraction form
    8,546.48/11,786.74 = 5,561.20/x
  3. Step 3: Cross multiply
    8,546.48x = 11,786.74 × 5,561.20
  4. Step 4: Simplify right side
    8,546.48x = 65,548,418.49
  5. Step 5: Solve for x
    x = 65,548,418.49/8,546.48
  6. Step 6: Final answer
    x = 7,669.64

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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.