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Finding the Fourth Proportional to 7,174.01, 10,759.47 and 2,243.00

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Solution

The fourth proportional to 7,174.01, 10,759.47 and 2,243.00 is: 3,364.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,174.01 : 10,759.47 = 2,243.00 : x
  2. Step 2: Convert to fraction form
    7,174.01/10,759.47 = 2,243.00/x
  3. Step 3: Cross multiply
    7,174.01x = 10,759.47 × 2,243.00
  4. Step 4: Simplify right side
    7,174.01x = 24,133,534.29
  5. Step 5: Solve for x
    x = 24,133,534.29/7,174.01
  6. Step 6: Final answer
    x = 3,364.03

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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.