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Finding the Fourth Proportional to 5,522.51, 8,282.00 and 1,824.05

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Solution

The fourth proportional to 5,522.51, 8,282.00 and 1,824.05 is: 2,735.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,522.51 : 8,282.00 = 1,824.05 : x
  2. Step 2: Convert to fraction form
    5,522.51/8,282.00 = 1,824.05/x
  3. Step 3: Cross multiply
    5,522.51x = 8,282.00 × 1,824.05
  4. Step 4: Simplify right side
    5,522.51x = 15,106,745.25
  5. Step 5: Solve for x
    x = 15,106,745.25/5,522.51
  6. Step 6: Final answer
    x = 2,735.49

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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.