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Finding the Fourth Proportional to 5,049.72, 6,972 and 4,516.94

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Solution

The fourth proportional to 5,049.72, 6,972 and 4,516.94 is: 6,236.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,049.72 : 6,972 = 4,516.94 : x
  2. Step 2: Convert to fraction form
    5,049.72/6,972 = 4,516.94/x
  3. Step 3: Cross multiply
    5,049.72x = 6,972 × 4,516.94
  4. Step 4: Simplify right side
    5,049.72x = 31,492,105.68
  5. Step 5: Solve for x
    x = 31,492,105.68/5,049.72
  6. Step 6: Final answer
    x = 6,236.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.