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Finding the Fourth Proportional to 6,762.70, 9,331.68 and 3,778.42

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Solution

The fourth proportional to 6,762.70, 9,331.68 and 3,778.42 is: 5,213.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,762.70 : 9,331.68 = 3,778.42 : x
  2. Step 2: Convert to fraction form
    6,762.70/9,331.68 = 3,778.42/x
  3. Step 3: Cross multiply
    6,762.70x = 9,331.68 × 3,778.42
  4. Step 4: Simplify right side
    6,762.70x = 35,259,006.35
  5. Step 5: Solve for x
    x = 35,259,006.35/6,762.70
  6. Step 6: Final answer
    x = 5,213.75

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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.