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Finding the Fourth Proportional to 6,726.26, 9,284.76 and 5,778.26

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Solution

The fourth proportional to 6,726.26, 9,284.76 and 5,778.26 is: 7,976.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,726.26 : 9,284.76 = 5,778.26 : x
  2. Step 2: Convert to fraction form
    6,726.26/9,284.76 = 5,778.26/x
  3. Step 3: Cross multiply
    6,726.26x = 9,284.76 × 5,778.26
  4. Step 4: Simplify right side
    6,726.26x = 53,649,745.71
  5. Step 5: Solve for x
    x = 53,649,745.71/6,726.26
  6. Step 6: Final answer
    x = 7,976.16

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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.