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Finding the Fourth Proportional to 6,568.74, 9,853.56 and 2,189.25

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Solution

The fourth proportional to 6,568.74, 9,853.56 and 2,189.25 is: 3,284.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,568.74 : 9,853.56 = 2,189.25 : x
  2. Step 2: Convert to fraction form
    6,568.74/9,853.56 = 2,189.25/x
  3. Step 3: Cross multiply
    6,568.74x = 9,853.56 × 2,189.25
  4. Step 4: Simplify right side
    6,568.74x = 21,571,906.23
  5. Step 5: Solve for x
    x = 21,571,906.23/6,568.74
  6. Step 6: Final answer
    x = 3,284.02

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.