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Finding the Fourth Proportional to 6,553.44, 9,836.64 and 3,093.12

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Solution

The fourth proportional to 6,553.44, 9,836.64 and 3,093.12 is: 4,642.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,553.44 : 9,836.64 = 3,093.12 : x
  2. Step 2: Convert to fraction form
    6,553.44/9,836.64 = 3,093.12/x
  3. Step 3: Cross multiply
    6,553.44x = 9,836.64 × 3,093.12
  4. Step 4: Simplify right side
    6,553.44x = 30,425,907.92
  5. Step 5: Solve for x
    x = 30,425,907.92/6,553.44
  6. Step 6: Final answer
    x = 4,642.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.