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Finding the Fourth Proportional to 6,762.52, 9,331.36 and 3,778.21

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Solution

The fourth proportional to 6,762.52, 9,331.36 and 3,778.21 is: 5,213.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,762.52 : 9,331.36 = 3,778.21 : x
  2. Step 2: Convert to fraction form
    6,762.52/9,331.36 = 3,778.21/x
  3. Step 3: Cross multiply
    6,762.52x = 9,331.36 × 3,778.21
  4. Step 4: Simplify right side
    6,762.52x = 35,255,837.67
  5. Step 5: Solve for x
    x = 35,255,837.67/6,762.52
  6. Step 6: Final answer
    x = 5,213.42

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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.