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Finding the Fourth Proportional to 13,001.52, 17,942.07 and 7,033.23

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Solution

The fourth proportional to 13,001.52, 17,942.07 and 7,033.23 is: 9,705.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,001.52 : 17,942.07 = 7,033.23 : x
  2. Step 2: Convert to fraction form
    13,001.52/17,942.07 = 7,033.23/x
  3. Step 3: Cross multiply
    13,001.52x = 17,942.07 × 7,033.23
  4. Step 4: Simplify right side
    13,001.52x = 126,190,704.99
  5. Step 5: Solve for x
    x = 126,190,704.99/13,001.52
  6. Step 6: Final answer
    x = 9,705.84

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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.