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Finding the Fourth Proportional to 8,199.14, 11,314.86 and 4,473.14

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Solution

The fourth proportional to 8,199.14, 11,314.86 and 4,473.14 is: 6,172.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,199.14 : 11,314.86 = 4,473.14 : x
  2. Step 2: Convert to fraction form
    8,199.14/11,314.86 = 4,473.14/x
  3. Step 3: Cross multiply
    8,199.14x = 11,314.86 × 4,473.14
  4. Step 4: Simplify right side
    8,199.14x = 50,612,952.86
  5. Step 5: Solve for x
    x = 50,612,952.86/8,199.14
  6. Step 6: Final answer
    x = 6,172.96

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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.