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Finding the Fourth Proportional to 11,745.76, 16,208.94 and 6,968.92

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Solution

The fourth proportional to 11,745.76, 16,208.94 and 6,968.92 is: 9,616.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,745.76 : 16,208.94 = 6,968.92 : x
  2. Step 2: Convert to fraction form
    11,745.76/16,208.94 = 6,968.92/x
  3. Step 3: Cross multiply
    11,745.76x = 16,208.94 × 6,968.92
  4. Step 4: Simplify right side
    11,745.76x = 112,958,806.14
  5. Step 5: Solve for x
    x = 112,958,806.14/11,745.76
  6. Step 6: Final answer
    x = 9,616.99

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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.