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Finding the Fourth Proportional to 4,922.44, 7,383.54 and 1,459.72

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Solution

The fourth proportional to 4,922.44, 7,383.54 and 1,459.72 is: 2,189.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,922.44 : 7,383.54 = 1,459.72 : x
  2. Step 2: Convert to fraction form
    4,922.44/7,383.54 = 1,459.72/x
  3. Step 3: Cross multiply
    4,922.44x = 7,383.54 × 1,459.72
  4. Step 4: Simplify right side
    4,922.44x = 10,777,901.01
  5. Step 5: Solve for x
    x = 10,777,901.01/4,922.44
  6. Step 6: Final answer
    x = 2,189.54

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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.