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Finding the Fourth Proportional to 6,364.17, 8,782.22 and 3,712.43

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Solution

The fourth proportional to 6,364.17, 8,782.22 and 3,712.43 is: 5,122.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,364.17 : 8,782.22 = 3,712.43 : x
  2. Step 2: Convert to fraction form
    6,364.17/8,782.22 = 3,712.43/x
  3. Step 3: Cross multiply
    6,364.17x = 8,782.22 × 3,712.43
  4. Step 4: Simplify right side
    6,364.17x = 32,603,408.23
  5. Step 5: Solve for x
    x = 32,603,408.23/6,364.17
  6. Step 6: Final answer
    x = 5,122.96

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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.