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Finding the Fourth Proportional to 5,993.33, 8,965.91 and 5,180.33

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Solution

The fourth proportional to 5,993.33, 8,965.91 and 5,180.33 is: 7,749.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,993.33 : 8,965.91 = 5,180.33 : x
  2. Step 2: Convert to fraction form
    5,993.33/8,965.91 = 5,180.33/x
  3. Step 3: Cross multiply
    5,993.33x = 8,965.91 × 5,180.33
  4. Step 4: Simplify right side
    5,993.33x = 46,446,346.65
  5. Step 5: Solve for x
    x = 46,446,346.65/5,993.33
  6. Step 6: Final answer
    x = 7,749.67

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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.