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Finding the Fourth Proportional to 8,584.34, 11,843.01 and 5,599.08

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Solution

The fourth proportional to 8,584.34, 11,843.01 and 5,599.08 is: 7,724.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,584.34 : 11,843.01 = 5,599.08 : x
  2. Step 2: Convert to fraction form
    8,584.34/11,843.01 = 5,599.08/x
  3. Step 3: Cross multiply
    8,584.34x = 11,843.01 × 5,599.08
  4. Step 4: Simplify right side
    8,584.34x = 66,309,960.43
  5. Step 5: Solve for x
    x = 66,309,960.43/8,584.34
  6. Step 6: Final answer
    x = 7,724.53

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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.