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Finding the Fourth Proportional to 8,546.49, 11,799.50 and 6,553.22

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Solution

The fourth proportional to 8,546.49, 11,799.50 and 6,553.22 is: 9,047.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,546.49 : 11,799.50 = 6,553.22 : x
  2. Step 2: Convert to fraction form
    8,546.49/11,799.50 = 6,553.22/x
  3. Step 3: Cross multiply
    8,546.49x = 11,799.50 × 6,553.22
  4. Step 4: Simplify right side
    8,546.49x = 77,324,627.63
  5. Step 5: Solve for x
    x = 77,324,627.63/8,546.49
  6. Step 6: Final answer
    x = 9,047.53

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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.