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Finding the Fourth Proportional to 6,564.75, 9,847.05 and 3,789.64

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Solution

The fourth proportional to 6,564.75, 9,847.05 and 3,789.64 is: 5,684.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,564.75 : 9,847.05 = 3,789.64 : x
  2. Step 2: Convert to fraction form
    6,564.75/9,847.05 = 3,789.64/x
  3. Step 3: Cross multiply
    6,564.75x = 9,847.05 × 3,789.64
  4. Step 4: Simplify right side
    6,564.75x = 37,316,774.56
  5. Step 5: Solve for x
    x = 37,316,774.56/6,564.75
  6. Step 6: Final answer
    x = 5,684.42

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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.