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Finding the Fourth Proportional to 11,970.54, 17,954.54 and 3,206.34

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Solution

The fourth proportional to 11,970.54, 17,954.54 and 3,206.34 is: 4,809.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,970.54 : 17,954.54 = 3,206.34 : x
  2. Step 2: Convert to fraction form
    11,970.54/17,954.54 = 3,206.34/x
  3. Step 3: Cross multiply
    11,970.54x = 17,954.54 × 3,206.34
  4. Step 4: Simplify right side
    11,970.54x = 57,568,359.78
  5. Step 5: Solve for x
    x = 57,568,359.78/11,970.54
  6. Step 6: Final answer
    x = 4,809.17

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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.