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Finding the Fourth Proportional to 5,824.77, 8,737.22 and 1,442.22

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Solution

The fourth proportional to 5,824.77, 8,737.22 and 1,442.22 is: 2,163.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,824.77 : 8,737.22 = 1,442.22 : x
  2. Step 2: Convert to fraction form
    5,824.77/8,737.22 = 1,442.22/x
  3. Step 3: Cross multiply
    5,824.77x = 8,737.22 × 1,442.22
  4. Step 4: Simplify right side
    5,824.77x = 12,600,986.22
  5. Step 5: Solve for x
    x = 12,600,986.22/5,824.77
  6. Step 6: Final answer
    x = 2,163.34

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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.