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Finding the Fourth Proportional to 4,657.74, 6,984.37 and 2,190.48

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Solution

The fourth proportional to 4,657.74, 6,984.37 and 2,190.48 is: 3,284.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,657.74 : 6,984.37 = 2,190.48 : x
  2. Step 2: Convert to fraction form
    4,657.74/6,984.37 = 2,190.48/x
  3. Step 3: Cross multiply
    4,657.74x = 6,984.37 × 2,190.48
  4. Step 4: Simplify right side
    4,657.74x = 15,299,122.80
  5. Step 5: Solve for x
    x = 15,299,122.80/4,657.74
  6. Step 6: Final answer
    x = 3,284.67

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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.