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Finding the Fourth Proportional to 13,041, 17,996.49 and 7,072.83

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Solution

The fourth proportional to 13,041, 17,996.49 and 7,072.83 is: 9,760.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,041 : 17,996.49 = 7,072.83 : x
  2. Step 2: Convert to fraction form
    13,041/17,996.49 = 7,072.83/x
  3. Step 3: Cross multiply
    13,041x = 17,996.49 × 7,072.83
  4. Step 4: Simplify right side
    13,041x = 127,286,114.37
  5. Step 5: Solve for x
    x = 127,286,114.37/13,041
  6. Step 6: Final answer
    x = 9,760.46

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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.