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Finding the Fourth Proportional to 4,777.09, 7,164.60 and 1,489.30

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Solution

The fourth proportional to 4,777.09, 7,164.60 and 1,489.30 is: 2,233.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,777.09 : 7,164.60 = 1,489.30 : x
  2. Step 2: Convert to fraction form
    4,777.09/7,164.60 = 1,489.30/x
  3. Step 3: Cross multiply
    4,777.09x = 7,164.60 × 1,489.30
  4. Step 4: Simplify right side
    4,777.09x = 10,670,238.78
  5. Step 5: Solve for x
    x = 10,670,238.78/4,777.09
  6. Step 6: Final answer
    x = 2,233.63

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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.