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Finding the Fourth Proportional to 6,408.84, 8,845.44 and 3,614.40

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Solution

The fourth proportional to 6,408.84, 8,845.44 and 3,614.40 is: 4,988.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,408.84 : 8,845.44 = 3,614.40 : x
  2. Step 2: Convert to fraction form
    6,408.84/8,845.44 = 3,614.40/x
  3. Step 3: Cross multiply
    6,408.84x = 8,845.44 × 3,614.40
  4. Step 4: Simplify right side
    6,408.84x = 31,970,958.34
  5. Step 5: Solve for x
    x = 31,970,958.34/6,408.84
  6. Step 6: Final answer
    x = 4,988.57

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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.