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Finding the Fourth Proportional to 6,205, 8,562.96 and 3,410.56

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Solution

The fourth proportional to 6,205, 8,562.96 and 3,410.56 is: 4,706.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,205 : 8,562.96 = 3,410.56 : x
  2. Step 2: Convert to fraction form
    6,205/8,562.96 = 3,410.56/x
  3. Step 3: Cross multiply
    6,205x = 8,562.96 × 3,410.56
  4. Step 4: Simplify right side
    6,205x = 29,204,488.86
  5. Step 5: Solve for x
    x = 29,204,488.86/6,205
  6. Step 6: Final answer
    x = 4,706.61

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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.