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Finding the Fourth Proportional to 6,805.50, 9,384.68 and 6,408.66

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Solution

The fourth proportional to 6,805.50, 9,384.68 and 6,408.66 is: 8,837.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,805.50 : 9,384.68 = 6,408.66 : x
  2. Step 2: Convert to fraction form
    6,805.50/9,384.68 = 6,408.66/x
  3. Step 3: Cross multiply
    6,805.50x = 9,384.68 × 6,408.66
  4. Step 4: Simplify right side
    6,805.50x = 60,143,223.33
  5. Step 5: Solve for x
    x = 60,143,223.33/6,805.50
  6. Step 6: Final answer
    x = 8,837.44

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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.