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Finding the Fourth Proportional to 11,895.39, 16,408.22 and 7,651.99

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Solution

The fourth proportional to 11,895.39, 16,408.22 and 7,651.99 is: 10,554.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,895.39 : 16,408.22 = 7,651.99 : x
  2. Step 2: Convert to fraction form
    11,895.39/16,408.22 = 7,651.99/x
  3. Step 3: Cross multiply
    11,895.39x = 16,408.22 × 7,651.99
  4. Step 4: Simplify right side
    11,895.39x = 125,555,415.06
  5. Step 5: Solve for x
    x = 125,555,415.06/11,895.39
  6. Step 6: Final answer
    x = 10,554.96

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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.