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Finding the Fourth Proportional to 10,993.46, 16,494.44 and 5,729.54

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Solution

The fourth proportional to 10,993.46, 16,494.44 and 5,729.54 is: 8,596.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,993.46 : 16,494.44 = 5,729.54 : x
  2. Step 2: Convert to fraction form
    10,993.46/16,494.44 = 5,729.54/x
  3. Step 3: Cross multiply
    10,993.46x = 16,494.44 × 5,729.54
  4. Step 4: Simplify right side
    10,993.46x = 94,505,442.64
  5. Step 5: Solve for x
    x = 94,505,442.64/10,993.46
  6. Step 6: Final answer
    x = 8,596.52

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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.