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Finding the Fourth Proportional to 4,954.50, 6,840.06 and 3,702.44

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Solution

The fourth proportional to 4,954.50, 6,840.06 and 3,702.44 is: 5,111.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,954.50 : 6,840.06 = 3,702.44 : x
  2. Step 2: Convert to fraction form
    4,954.50/6,840.06 = 3,702.44/x
  3. Step 3: Cross multiply
    4,954.50x = 6,840.06 × 3,702.44
  4. Step 4: Simplify right side
    4,954.50x = 25,324,911.75
  5. Step 5: Solve for x
    x = 25,324,911.75/4,954.50
  6. Step 6: Final answer
    x = 5,111.50

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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.