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Finding the Fourth Proportional to 8,074.92, 11,138.94 and 5,243.16

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Solution

The fourth proportional to 8,074.92, 11,138.94 and 5,243.16 is: 7,232.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,074.92 : 11,138.94 = 5,243.16 : x
  2. Step 2: Convert to fraction form
    8,074.92/11,138.94 = 5,243.16/x
  3. Step 3: Cross multiply
    8,074.92x = 11,138.94 × 5,243.16
  4. Step 4: Simplify right side
    8,074.92x = 58,403,244.65
  5. Step 5: Solve for x
    x = 58,403,244.65/8,074.92
  6. Step 6: Final answer
    x = 7,232.67

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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.