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Finding the Fourth Proportional to 8,091.84, 11,168.16 and 4,556.16

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Solution

The fourth proportional to 8,091.84, 11,168.16 and 4,556.16 is: 6,288.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,091.84 : 11,168.16 = 4,556.16 : x
  2. Step 2: Convert to fraction form
    8,091.84/11,168.16 = 4,556.16/x
  3. Step 3: Cross multiply
    8,091.84x = 11,168.16 × 4,556.16
  4. Step 4: Simplify right side
    8,091.84x = 50,883,923.87
  5. Step 5: Solve for x
    x = 50,883,923.87/8,091.84
  6. Step 6: Final answer
    x = 6,288.30

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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.