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Finding the Fourth Proportional to 6,762.85, 9,332.12 and 3,778.27

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Solution

The fourth proportional to 6,762.85, 9,332.12 and 3,778.27 is: 5,213.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,762.85 : 9,332.12 = 3,778.27 : x
  2. Step 2: Convert to fraction form
    6,762.85/9,332.12 = 3,778.27/x
  3. Step 3: Cross multiply
    6,762.85x = 9,332.12 × 3,778.27
  4. Step 4: Simplify right side
    6,762.85x = 35,259,255.15
  5. Step 5: Solve for x
    x = 35,259,255.15/6,762.85
  6. Step 6: Final answer
    x = 5,213.67

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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.