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Finding the Fourth Proportional to 6,967.57, 9,615.41 and 3,983.68

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Solution

The fourth proportional to 6,967.57, 9,615.41 and 3,983.68 is: 5,497.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,967.57 : 9,615.41 = 3,983.68 : x
  2. Step 2: Convert to fraction form
    6,967.57/9,615.41 = 3,983.68/x
  3. Step 3: Cross multiply
    6,967.57x = 9,615.41 × 3,983.68
  4. Step 4: Simplify right side
    6,967.57x = 38,304,716.51
  5. Step 5: Solve for x
    x = 38,304,716.51/6,967.57
  6. Step 6: Final answer
    x = 5,497.57

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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.