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Finding the Fourth Proportional to 6,124, 8,447.28 and 4,884.96

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Solution

The fourth proportional to 6,124, 8,447.28 and 4,884.96 is: 6,738.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,124 : 8,447.28 = 4,884.96 : x
  2. Step 2: Convert to fraction form
    6,124/8,447.28 = 4,884.96/x
  3. Step 3: Cross multiply
    6,124x = 8,447.28 × 4,884.96
  4. Step 4: Simplify right side
    6,124x = 41,264,624.91
  5. Step 5: Solve for x
    x = 41,264,624.91/6,124
  6. Step 6: Final answer
    x = 6,738.18

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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.