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Finding the Fourth Proportional to 7,174.18, 9,901.74 and 5,194

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Solution

The fourth proportional to 7,174.18, 9,901.74 and 5,194 is: 7,168.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,174.18 : 9,901.74 = 5,194 : x
  2. Step 2: Convert to fraction form
    7,174.18/9,901.74 = 5,194/x
  3. Step 3: Cross multiply
    7,174.18x = 9,901.74 × 5,194
  4. Step 4: Simplify right side
    7,174.18x = 51,429,637.56
  5. Step 5: Solve for x
    x = 51,429,637.56/7,174.18
  6. Step 6: Final answer
    x = 7,168.71

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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.