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Finding the Fourth Proportional to 8,544.96, 11,793.06 and 5,189.04

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Solution

The fourth proportional to 8,544.96, 11,793.06 and 5,189.04 is: 7,161.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,544.96 : 11,793.06 = 5,189.04 : x
  2. Step 2: Convert to fraction form
    8,544.96/11,793.06 = 5,189.04/x
  3. Step 3: Cross multiply
    8,544.96x = 11,793.06 × 5,189.04
  4. Step 4: Simplify right side
    8,544.96x = 61,194,660.06
  5. Step 5: Solve for x
    x = 61,194,660.06/8,544.96
  6. Step 6: Final answer
    x = 7,161.49

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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.