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Finding the Fourth Proportional to 6,968.82, 9,616.44 and 4,315.26

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Solution

The fourth proportional to 6,968.82, 9,616.44 and 4,315.26 is: 5,954.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,968.82 : 9,616.44 = 4,315.26 : x
  2. Step 2: Convert to fraction form
    6,968.82/9,616.44 = 4,315.26/x
  3. Step 3: Cross multiply
    6,968.82x = 9,616.44 × 4,315.26
  4. Step 4: Simplify right side
    6,968.82x = 41,497,438.87
  5. Step 5: Solve for x
    x = 41,497,438.87/6,968.82
  6. Step 6: Final answer
    x = 5,954.73

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1.5x scale

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.