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Finding the Fourth Proportional to 4,894.75, 6,760.37 and 3,223.63

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Solution

The fourth proportional to 4,894.75, 6,760.37 and 3,223.63 is: 4,452.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,894.75 : 6,760.37 = 3,223.63 : x
  2. Step 2: Convert to fraction form
    4,894.75/6,760.37 = 3,223.63/x
  3. Step 3: Cross multiply
    4,894.75x = 6,760.37 × 3,223.63
  4. Step 4: Simplify right side
    4,894.75x = 21,792,898.52
  5. Step 5: Solve for x
    x = 21,792,898.52/4,894.75
  6. Step 6: Final answer
    x = 4,452.30

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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.