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Finding the Fourth Proportional to 10,993.73, 16,489.88 and 4,749.33

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Solution

The fourth proportional to 10,993.73, 16,489.88 and 4,749.33 is: 7,123.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,993.73 : 16,489.88 = 4,749.33 : x
  2. Step 2: Convert to fraction form
    10,993.73/16,489.88 = 4,749.33/x
  3. Step 3: Cross multiply
    10,993.73x = 16,489.88 × 4,749.33
  4. Step 4: Simplify right side
    10,993.73x = 78,315,937.68
  5. Step 5: Solve for x
    x = 78,315,937.68/10,993.73
  6. Step 6: Final answer
    x = 7,123.69

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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.