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Finding the Fourth Proportional to 6,666.85, 9,200.67 and 3,682.67

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Solution

The fourth proportional to 6,666.85, 9,200.67 and 3,682.67 is: 5,082.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,666.85 : 9,200.67 = 3,682.67 : x
  2. Step 2: Convert to fraction form
    6,666.85/9,200.67 = 3,682.67/x
  3. Step 3: Cross multiply
    6,666.85x = 9,200.67 × 3,682.67
  4. Step 4: Simplify right side
    6,666.85x = 33,883,031.39
  5. Step 5: Solve for x
    x = 33,883,031.39/6,666.85
  6. Step 6: Final answer
    x = 5,082.31

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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.