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Finding the Fourth Proportional to 7,174.00, 10,760.60 and 2,243.06

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Solution

The fourth proportional to 7,174.00, 10,760.60 and 2,243.06 is: 3,364.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,174.00 : 10,760.60 = 2,243.06 : x
  2. Step 2: Convert to fraction form
    7,174.00/10,760.60 = 2,243.06/x
  3. Step 3: Cross multiply
    7,174.00x = 10,760.60 × 2,243.06
  4. Step 4: Simplify right side
    7,174.00x = 24,136,668.63
  5. Step 5: Solve for x
    x = 24,136,668.63/7,174.00
  6. Step 6: Final answer
    x = 3,364.46

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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.