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Finding the Fourth Proportional to 6,408.12, 8,843.24 and 3,575.76

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Solution

The fourth proportional to 6,408.12, 8,843.24 and 3,575.76 is: 4,934.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,408.12 : 8,843.24 = 3,575.76 : x
  2. Step 2: Convert to fraction form
    6,408.12/8,843.24 = 3,575.76/x
  3. Step 3: Cross multiply
    6,408.12x = 8,843.24 × 3,575.76
  4. Step 4: Simplify right side
    6,408.12x = 31,621,303.86
  5. Step 5: Solve for x
    x = 31,621,303.86/6,408.12
  6. Step 6: Final answer
    x = 4,934.57

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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.