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Finding the Fourth Proportional to 22,775.75, 34,157.01 and 8,734.75

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Solution

The fourth proportional to 22,775.75, 34,157.01 and 8,734.75 is: 13,099.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,775.75 : 34,157.01 = 8,734.75 : x
  2. Step 2: Convert to fraction form
    22,775.75/34,157.01 = 8,734.75/x
  3. Step 3: Cross multiply
    22,775.75x = 34,157.01 × 8,734.75
  4. Step 4: Simplify right side
    22,775.75x = 298,352,943.10
  5. Step 5: Solve for x
    x = 298,352,943.10/22,775.75
  6. Step 6: Final answer
    x = 13,099.59

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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.