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Finding the Fourth Proportional to 7,071, 9,758.25 and 3,927.42

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Solution

The fourth proportional to 7,071, 9,758.25 and 3,927.42 is: 5,419.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,071 : 9,758.25 = 3,927.42 : x
  2. Step 2: Convert to fraction form
    7,071/9,758.25 = 3,927.42/x
  3. Step 3: Cross multiply
    7,071x = 9,758.25 × 3,927.42
  4. Step 4: Simplify right side
    7,071x = 38,324,746.22
  5. Step 5: Solve for x
    x = 38,324,746.22/7,071
  6. Step 6: Final answer
    x = 5,419.99

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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.