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Finding the Fourth Proportional to 6,271.68, 8,654.68 and 3,438.96

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Solution

The fourth proportional to 6,271.68, 8,654.68 and 3,438.96 is: 4,745.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,271.68 : 8,654.68 = 3,438.96 : x
  2. Step 2: Convert to fraction form
    6,271.68/8,654.68 = 3,438.96/x
  3. Step 3: Cross multiply
    6,271.68x = 8,654.68 × 3,438.96
  4. Step 4: Simplify right side
    6,271.68x = 29,763,098.33
  5. Step 5: Solve for x
    x = 29,763,098.33/6,271.68
  6. Step 6: Final answer
    x = 4,745.63

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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.