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Finding the Fourth Proportional to 4,961.97, 7,436.07 and 2,184.48

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Solution

The fourth proportional to 4,961.97, 7,436.07 and 2,184.48 is: 3,273.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,961.97 : 7,436.07 = 2,184.48 : x
  2. Step 2: Convert to fraction form
    4,961.97/7,436.07 = 2,184.48/x
  3. Step 3: Cross multiply
    4,961.97x = 7,436.07 × 2,184.48
  4. Step 4: Simplify right side
    4,961.97x = 16,243,946.19
  5. Step 5: Solve for x
    x = 16,243,946.19/4,961.97
  6. Step 6: Final answer
    x = 3,273.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.