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Finding the Fourth Proportional to 6,626.12, 9,134.42 and 4,630.49

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Solution

The fourth proportional to 6,626.12, 9,134.42 and 4,630.49 is: 6,383.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,626.12 : 9,134.42 = 4,630.49 : x
  2. Step 2: Convert to fraction form
    6,626.12/9,134.42 = 4,630.49/x
  3. Step 3: Cross multiply
    6,626.12x = 9,134.42 × 4,630.49
  4. Step 4: Simplify right side
    6,626.12x = 42,296,771.64
  5. Step 5: Solve for x
    x = 42,296,771.64/6,626.12
  6. Step 6: Final answer
    x = 6,383.34

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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.