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Finding the Fourth Proportional to 4,747.24, 7,112.97 and 2,892.76

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Solution

The fourth proportional to 4,747.24, 7,112.97 and 2,892.76 is: 4,334.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,747.24 : 7,112.97 = 2,892.76 : x
  2. Step 2: Convert to fraction form
    4,747.24/7,112.97 = 2,892.76/x
  3. Step 3: Cross multiply
    4,747.24x = 7,112.97 × 2,892.76
  4. Step 4: Simplify right side
    4,747.24x = 20,576,115.10
  5. Step 5: Solve for x
    x = 20,576,115.10/4,747.24
  6. Step 6: Final answer
    x = 4,334.33

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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.