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Finding the Fourth Proportional to 6,694, 9,237.44 and 3,710

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Solution

The fourth proportional to 6,694, 9,237.44 and 3,710 is: 5,119.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,694 : 9,237.44 = 3,710 : x
  2. Step 2: Convert to fraction form
    6,694/9,237.44 = 3,710/x
  3. Step 3: Cross multiply
    6,694x = 9,237.44 × 3,710
  4. Step 4: Simplify right side
    6,694x = 34,270,902.40
  5. Step 5: Solve for x
    x = 34,270,902.40/6,694
  6. Step 6: Final answer
    x = 5,119.64

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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.