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Finding the Fourth Proportional to 6,674.67, 10,015.57 and 4,334.12

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Solution

The fourth proportional to 6,674.67, 10,015.57 and 4,334.12 is: 6,503.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,674.67 : 10,015.57 = 4,334.12 : x
  2. Step 2: Convert to fraction form
    6,674.67/10,015.57 = 4,334.12/x
  3. Step 3: Cross multiply
    6,674.67x = 10,015.57 × 4,334.12
  4. Step 4: Simplify right side
    6,674.67x = 43,408,682.25
  5. Step 5: Solve for x
    x = 43,408,682.25/6,674.67
  6. Step 6: Final answer
    x = 6,503.49

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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.