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Finding the Fourth Proportional to 4,832.60, 7,221.33 and 4,055

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Solution

The fourth proportional to 4,832.60, 7,221.33 and 4,055 is: 6,059.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,832.60 : 7,221.33 = 4,055 : x
  2. Step 2: Convert to fraction form
    4,832.60/7,221.33 = 4,055/x
  3. Step 3: Cross multiply
    4,832.60x = 7,221.33 × 4,055
  4. Step 4: Simplify right side
    4,832.60x = 29,282,493.15
  5. Step 5: Solve for x
    x = 29,282,493.15/4,832.60
  6. Step 6: Final answer
    x = 6,059.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.