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Finding the Fourth Proportional to 6,408.75, 8,844.09 and 3,614.25

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Solution

The fourth proportional to 6,408.75, 8,844.09 and 3,614.25 is: 4,987.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,408.75 : 8,844.09 = 3,614.25 : x
  2. Step 2: Convert to fraction form
    6,408.75/8,844.09 = 3,614.25/x
  3. Step 3: Cross multiply
    6,408.75x = 8,844.09 × 3,614.25
  4. Step 4: Simplify right side
    6,408.75x = 31,964,752.28
  5. Step 5: Solve for x
    x = 31,964,752.28/6,408.75
  6. Step 6: Final answer
    x = 4,987.67

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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.