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Finding the Fourth Proportional to 8,200.07, 11,316.09 and 4,474.07

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Solution

The fourth proportional to 8,200.07, 11,316.09 and 4,474.07 is: 6,174.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,200.07 : 11,316.09 = 4,474.07 : x
  2. Step 2: Convert to fraction form
    8,200.07/11,316.09 = 4,474.07/x
  3. Step 3: Cross multiply
    8,200.07x = 11,316.09 × 4,474.07
  4. Step 4: Simplify right side
    8,200.07x = 50,628,978.79
  5. Step 5: Solve for x
    x = 50,628,978.79/8,200.07
  6. Step 6: Final answer
    x = 6,174.21

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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.