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Finding the Fourth Proportional to 7,168, 9,893.02 and 4,183.84

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Solution

The fourth proportional to 7,168, 9,893.02 and 4,183.84 is: 5,774.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,168 : 9,893.02 = 4,183.84 : x
  2. Step 2: Convert to fraction form
    7,168/9,893.02 = 4,183.84/x
  3. Step 3: Cross multiply
    7,168x = 9,893.02 × 4,183.84
  4. Step 4: Simplify right side
    7,168x = 41,390,812.80
  5. Step 5: Solve for x
    x = 41,390,812.80/7,168
  6. Step 6: Final answer
    x = 5,774.39

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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.