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Finding the Fourth Proportional to 6,563.67, 9,844.59 and 1,884.09

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Solution

The fourth proportional to 6,563.67, 9,844.59 and 1,884.09 is: 2,825.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,563.67 : 9,844.59 = 1,884.09 : x
  2. Step 2: Convert to fraction form
    6,563.67/9,844.59 = 1,884.09/x
  3. Step 3: Cross multiply
    6,563.67x = 9,844.59 × 1,884.09
  4. Step 4: Simplify right side
    6,563.67x = 18,548,093.57
  5. Step 5: Solve for x
    x = 18,548,093.57/6,563.67
  6. Step 6: Final answer
    x = 2,825.87

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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.