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Finding the Fourth Proportional to 6,882.39, 9,497.81 and 3,738.58

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Solution

The fourth proportional to 6,882.39, 9,497.81 and 3,738.58 is: 5,159.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,882.39 : 9,497.81 = 3,738.58 : x
  2. Step 2: Convert to fraction form
    6,882.39/9,497.81 = 3,738.58/x
  3. Step 3: Cross multiply
    6,882.39x = 9,497.81 × 3,738.58
  4. Step 4: Simplify right side
    6,882.39x = 35,508,322.51
  5. Step 5: Solve for x
    x = 35,508,322.51/6,882.39
  6. Step 6: Final answer
    x = 5,159.30

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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.