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Finding the Fourth Proportional to 6,340.35, 9,512.09 and 4,469.90

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Solution

The fourth proportional to 6,340.35, 9,512.09 and 4,469.90 is: 6,705.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,340.35 : 9,512.09 = 4,469.90 : x
  2. Step 2: Convert to fraction form
    6,340.35/9,512.09 = 4,469.90/x
  3. Step 3: Cross multiply
    6,340.35x = 9,512.09 × 4,469.90
  4. Step 4: Simplify right side
    6,340.35x = 42,518,021.18
  5. Step 5: Solve for x
    x = 42,518,021.18/6,340.35
  6. Step 6: Final answer
    x = 6,705.94

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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.