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Finding the Fourth Proportional to 8,249.96, 11,384.94 and 4,473.11

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Solution

The fourth proportional to 8,249.96, 11,384.94 and 4,473.11 is: 6,172.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,249.96 : 11,384.94 = 4,473.11 : x
  2. Step 2: Convert to fraction form
    8,249.96/11,384.94 = 4,473.11/x
  3. Step 3: Cross multiply
    8,249.96x = 11,384.94 × 4,473.11
  4. Step 4: Simplify right side
    8,249.96x = 50,926,088.96
  5. Step 5: Solve for x
    x = 50,926,088.96/8,249.96
  6. Step 6: Final answer
    x = 6,172.89

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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.