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Finding the Fourth Proportional to 4,661.46, 6,993.86 and 2,196.63

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Solution

The fourth proportional to 4,661.46, 6,993.86 and 2,196.63 is: 3,295.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,661.46 : 6,993.86 = 2,196.63 : x
  2. Step 2: Convert to fraction form
    4,661.46/6,993.86 = 2,196.63/x
  3. Step 3: Cross multiply
    4,661.46x = 6,993.86 × 2,196.63
  4. Step 4: Simplify right side
    4,661.46x = 15,362,911.71
  5. Step 5: Solve for x
    x = 15,362,911.71/4,661.46
  6. Step 6: Final answer
    x = 3,295.73

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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.