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Finding the Fourth Proportional to 11,628, 17,441.94 and 6,444.84

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Solution

The fourth proportional to 11,628, 17,441.94 and 6,444.84 is: 9,667.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,628 : 17,441.94 = 6,444.84 : x
  2. Step 2: Convert to fraction form
    11,628/17,441.94 = 6,444.84/x
  3. Step 3: Cross multiply
    11,628x = 17,441.94 × 6,444.84
  4. Step 4: Simplify right side
    11,628x = 112,410,512.59
  5. Step 5: Solve for x
    x = 112,410,512.59/11,628
  6. Step 6: Final answer
    x = 9,667.23

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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.