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Finding the Fourth Proportional to 3,267.14, 4,899.90 and 926.60

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Solution

The fourth proportional to 3,267.14, 4,899.90 and 926.60 is: 1,389.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,267.14 : 4,899.90 = 926.60 : x
  2. Step 2: Convert to fraction form
    3,267.14/4,899.90 = 926.60/x
  3. Step 3: Cross multiply
    3,267.14x = 4,899.90 × 926.60
  4. Step 4: Simplify right side
    3,267.14x = 4,540,247.34
  5. Step 5: Solve for x
    x = 4,540,247.34/3,267.14
  6. Step 6: Final answer
    x = 1,389.67

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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.