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Finding the Fourth Proportional to 7,174.14, 9,901.38 and 5,164.20

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Solution

The fourth proportional to 7,174.14, 9,901.38 and 5,164.20 is: 7,127.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,174.14 : 9,901.38 = 5,164.20 : x
  2. Step 2: Convert to fraction form
    7,174.14/9,901.38 = 5,164.20/x
  3. Step 3: Cross multiply
    7,174.14x = 9,901.38 × 5,164.20
  4. Step 4: Simplify right side
    7,174.14x = 51,132,706.60
  5. Step 5: Solve for x
    x = 51,132,706.60/7,174.14
  6. Step 6: Final answer
    x = 7,127.36

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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.