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Finding the Fourth Proportional to 10,850.49, 16,284.96 and 7,738.11

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Solution

The fourth proportional to 10,850.49, 16,284.96 and 7,738.11 is: 11,613.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,850.49 : 16,284.96 = 7,738.11 : x
  2. Step 2: Convert to fraction form
    10,850.49/16,284.96 = 7,738.11/x
  3. Step 3: Cross multiply
    10,850.49x = 16,284.96 × 7,738.11
  4. Step 4: Simplify right side
    10,850.49x = 126,014,811.83
  5. Step 5: Solve for x
    x = 126,014,811.83/10,850.49
  6. Step 6: Final answer
    x = 11,613.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.