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Finding the Fourth Proportional to 4,591.84, 6,883.56 and 1,993.84

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Solution

The fourth proportional to 4,591.84, 6,883.56 and 1,993.84 is: 2,988.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,591.84 : 6,883.56 = 1,993.84 : x
  2. Step 2: Convert to fraction form
    4,591.84/6,883.56 = 1,993.84/x
  3. Step 3: Cross multiply
    4,591.84x = 6,883.56 × 1,993.84
  4. Step 4: Simplify right side
    4,591.84x = 13,724,717.27
  5. Step 5: Solve for x
    x = 13,724,717.27/4,591.84
  6. Step 6: Final answer
    x = 2,988.94

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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.