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Finding the Fourth Proportional to 6,266.46, 8,647.72 and 3,434.02

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Solution

The fourth proportional to 6,266.46, 8,647.72 and 3,434.02 is: 4,738.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,266.46 : 8,647.72 = 3,434.02 : x
  2. Step 2: Convert to fraction form
    6,266.46/8,647.72 = 3,434.02/x
  3. Step 3: Cross multiply
    6,266.46x = 8,647.72 × 3,434.02
  4. Step 4: Simplify right side
    6,266.46x = 29,696,443.43
  5. Step 5: Solve for x
    x = 29,696,443.43/6,266.46
  6. Step 6: Final answer
    x = 4,738.95

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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.