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Finding the Fourth Proportional to 8,096.73, 11,172.87 and 4,559.25

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Solution

The fourth proportional to 8,096.73, 11,172.87 and 4,559.25 is: 6,291.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,096.73 : 11,172.87 = 4,559.25 : x
  2. Step 2: Convert to fraction form
    8,096.73/11,172.87 = 4,559.25/x
  3. Step 3: Cross multiply
    8,096.73x = 11,172.87 × 4,559.25
  4. Step 4: Simplify right side
    8,096.73x = 50,939,907.55
  5. Step 5: Solve for x
    x = 50,939,907.55/8,096.73
  6. Step 6: Final answer
    x = 6,291.42

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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.