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Finding the Fourth Proportional to 11,996.40, 17,973.12 and 7,313.94

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Solution

The fourth proportional to 11,996.40, 17,973.12 and 7,313.94 is: 10,957.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,996.40 : 17,973.12 = 7,313.94 : x
  2. Step 2: Convert to fraction form
    11,996.40/17,973.12 = 7,313.94/x
  3. Step 3: Cross multiply
    11,996.40x = 17,973.12 × 7,313.94
  4. Step 4: Simplify right side
    11,996.40x = 131,454,321.29
  5. Step 5: Solve for x
    x = 131,454,321.29/11,996.40
  6. Step 6: Final answer
    x = 10,957.81

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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.