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Finding the Fourth Proportional to 4,892.57, 7,338.24 and 1,968.67

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Solution

The fourth proportional to 4,892.57, 7,338.24 and 1,968.67 is: 2,952.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,892.57 : 7,338.24 = 1,968.67 : x
  2. Step 2: Convert to fraction form
    4,892.57/7,338.24 = 1,968.67/x
  3. Step 3: Cross multiply
    4,892.57x = 7,338.24 × 1,968.67
  4. Step 4: Simplify right side
    4,892.57x = 14,446,572.94
  5. Step 5: Solve for x
    x = 14,446,572.94/4,892.57
  6. Step 6: Final answer
    x = 2,952.76

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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.