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Finding the Fourth Proportional to 5,993.87, 8,282.93 and 4,499.21

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Solution

The fourth proportional to 5,993.87, 8,282.93 and 4,499.21 is: 6,217.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,993.87 : 8,282.93 = 4,499.21 : x
  2. Step 2: Convert to fraction form
    5,993.87/8,282.93 = 4,499.21/x
  3. Step 3: Cross multiply
    5,993.87x = 8,282.93 × 4,499.21
  4. Step 4: Simplify right side
    5,993.87x = 37,266,639.70
  5. Step 5: Solve for x
    x = 37,266,639.70/5,993.87
  6. Step 6: Final answer
    x = 6,217.46

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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.