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Finding the Fourth Proportional to 6,464.76, 9,698.74 and 2,082.11

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Solution

The fourth proportional to 6,464.76, 9,698.74 and 2,082.11 is: 3,123.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,464.76 : 9,698.74 = 2,082.11 : x
  2. Step 2: Convert to fraction form
    6,464.76/9,698.74 = 2,082.11/x
  3. Step 3: Cross multiply
    6,464.76x = 9,698.74 × 2,082.11
  4. Step 4: Simplify right side
    6,464.76x = 20,193,789.84
  5. Step 5: Solve for x
    x = 20,193,789.84/6,464.76
  6. Step 6: Final answer
    x = 3,123.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.