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Finding the Fourth Proportional to 6,551.44, 9,033.54 and 4,976.80

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Solution

The fourth proportional to 6,551.44, 9,033.54 and 4,976.80 is: 6,862.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,551.44 : 9,033.54 = 4,976.80 : x
  2. Step 2: Convert to fraction form
    6,551.44/9,033.54 = 4,976.80/x
  3. Step 3: Cross multiply
    6,551.44x = 9,033.54 × 4,976.80
  4. Step 4: Simplify right side
    6,551.44x = 44,958,121.87
  5. Step 5: Solve for x
    x = 44,958,121.87/6,551.44
  6. Step 6: Final answer
    x = 6,862.33

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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.