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Finding the Fourth Proportional to 13,001.98, 17,942.75 and 7,033.63

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Solution

The fourth proportional to 13,001.98, 17,942.75 and 7,033.63 is: 9,706.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,001.98 : 17,942.75 = 7,033.63 : x
  2. Step 2: Convert to fraction form
    13,001.98/17,942.75 = 7,033.63/x
  3. Step 3: Cross multiply
    13,001.98x = 17,942.75 × 7,033.63
  4. Step 4: Simplify right side
    13,001.98x = 126,202,664.68
  5. Step 5: Solve for x
    x = 126,202,664.68/13,001.98
  6. Step 6: Final answer
    x = 9,706.42

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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.