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Finding the Fourth Proportional to 4,961.94, 7,443.66 and 1,674.30

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Solution

The fourth proportional to 4,961.94, 7,443.66 and 1,674.30 is: 2,511.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,961.94 : 7,443.66 = 1,674.30 : x
  2. Step 2: Convert to fraction form
    4,961.94/7,443.66 = 1,674.30/x
  3. Step 3: Cross multiply
    4,961.94x = 7,443.66 × 1,674.30
  4. Step 4: Simplify right side
    4,961.94x = 12,462,919.94
  5. Step 5: Solve for x
    x = 12,462,919.94/4,961.94
  6. Step 6: Final answer
    x = 2,511.70

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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.