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Finding the Fourth Proportional to 4,793.84, 7,190.76 and 4,142.60

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Solution

The fourth proportional to 4,793.84, 7,190.76 and 4,142.60 is: 6,213.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,793.84 : 7,190.76 = 4,142.60 : x
  2. Step 2: Convert to fraction form
    4,793.84/7,190.76 = 4,142.60/x
  3. Step 3: Cross multiply
    4,793.84x = 7,190.76 × 4,142.60
  4. Step 4: Simplify right side
    4,793.84x = 29,788,442.38
  5. Step 5: Solve for x
    x = 29,788,442.38/4,793.84
  6. Step 6: Final answer
    x = 6,213.90

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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.