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Finding the Fourth Proportional to 6,205.95, 8,562.78 and 3,846.96

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Solution

The fourth proportional to 6,205.95, 8,562.78 and 3,846.96 is: 5,307.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,205.95 : 8,562.78 = 3,846.96 : x
  2. Step 2: Convert to fraction form
    6,205.95/8,562.78 = 3,846.96/x
  3. Step 3: Cross multiply
    6,205.95x = 8,562.78 × 3,846.96
  4. Step 4: Simplify right side
    6,205.95x = 32,940,672.15
  5. Step 5: Solve for x
    x = 32,940,672.15/6,205.95
  6. Step 6: Final answer
    x = 5,307.92

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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.