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Finding the Fourth Proportional to 6,512.00, 8,984.25 and 3,858.84

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Solution

The fourth proportional to 6,512.00, 8,984.25 and 3,858.84 is: 5,323.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,512.00 : 8,984.25 = 3,858.84 : x
  2. Step 2: Convert to fraction form
    6,512.00/8,984.25 = 3,858.84/x
  3. Step 3: Cross multiply
    6,512.00x = 8,984.25 × 3,858.84
  4. Step 4: Simplify right side
    6,512.00x = 34,668,783.27
  5. Step 5: Solve for x
    x = 34,668,783.27/6,512.00
  6. Step 6: Final answer
    x = 5,323.83

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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.