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Finding the Fourth Proportional to 8,200.42, 11,316.58 and 4,474.42

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Solution

The fourth proportional to 8,200.42, 11,316.58 and 4,474.42 is: 6,174.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,200.42 : 11,316.58 = 4,474.42 : x
  2. Step 2: Convert to fraction form
    8,200.42/11,316.58 = 4,474.42/x
  3. Step 3: Cross multiply
    8,200.42x = 11,316.58 × 4,474.42
  4. Step 4: Simplify right side
    8,200.42x = 50,635,092.41
  5. Step 5: Solve for x
    x = 50,635,092.41/8,200.42
  6. Step 6: Final answer
    x = 6,174.70

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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.