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Finding the Fourth Proportional to 6,164.89, 8,506.95 and 3,511.73

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Solution

The fourth proportional to 6,164.89, 8,506.95 and 3,511.73 is: 4,845.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,164.89 : 8,506.95 = 3,511.73 : x
  2. Step 2: Convert to fraction form
    6,164.89/8,506.95 = 3,511.73/x
  3. Step 3: Cross multiply
    6,164.89x = 8,506.95 × 3,511.73
  4. Step 4: Simplify right side
    6,164.89x = 29,874,111.52
  5. Step 5: Solve for x
    x = 29,874,111.52/6,164.89
  6. Step 6: Final answer
    x = 4,845.85

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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.