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Finding the Fourth Proportional to 4,650.24, 6,974.82 and 1,728.21

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Solution

The fourth proportional to 4,650.24, 6,974.82 and 1,728.21 is: 2,592.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,650.24 : 6,974.82 = 1,728.21 : x
  2. Step 2: Convert to fraction form
    4,650.24/6,974.82 = 1,728.21/x
  3. Step 3: Cross multiply
    4,650.24x = 6,974.82 × 1,728.21
  4. Step 4: Simplify right side
    4,650.24x = 12,053,953.67
  5. Step 5: Solve for x
    x = 12,053,953.67/4,650.24
  6. Step 6: Final answer
    x = 2,592.11

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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.