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Finding the Fourth Proportional to 6,234.81, 8,601.82 and 4,114.32

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Solution

The fourth proportional to 6,234.81, 8,601.82 and 4,114.32 is: 5,676.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,234.81 : 8,601.82 = 4,114.32 : x
  2. Step 2: Convert to fraction form
    6,234.81/8,601.82 = 4,114.32/x
  3. Step 3: Cross multiply
    6,234.81x = 8,601.82 × 4,114.32
  4. Step 4: Simplify right side
    6,234.81x = 35,390,640.06
  5. Step 5: Solve for x
    x = 35,390,640.06/6,234.81
  6. Step 6: Final answer
    x = 5,676.30

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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.