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Finding the Fourth Proportional to 11,773.65, 16,249.94 and 7,299.42

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Solution

The fourth proportional to 11,773.65, 16,249.94 and 7,299.42 is: 10,074.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,773.65 : 16,249.94 = 7,299.42 : x
  2. Step 2: Convert to fraction form
    11,773.65/16,249.94 = 7,299.42/x
  3. Step 3: Cross multiply
    11,773.65x = 16,249.94 × 7,299.42
  4. Step 4: Simplify right side
    11,773.65x = 118,615,087.50
  5. Step 5: Solve for x
    x = 118,615,087.50/11,773.65
  6. Step 6: Final answer
    x = 10,074.62

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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.