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Finding the Fourth Proportional to 4,902.60, 7,353.90 and 3,047.70

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Solution

The fourth proportional to 4,902.60, 7,353.90 and 3,047.70 is: 4,571.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,902.60 : 7,353.90 = 3,047.70 : x
  2. Step 2: Convert to fraction form
    4,902.60/7,353.90 = 3,047.70/x
  3. Step 3: Cross multiply
    4,902.60x = 7,353.90 × 3,047.70
  4. Step 4: Simplify right side
    4,902.60x = 22,412,481.03
  5. Step 5: Solve for x
    x = 22,412,481.03/4,902.60
  6. Step 6: Final answer
    x = 4,571.55

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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.