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Finding the Fourth Proportional to 9,234.84, 12,744 and 5,043.09

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Solution

The fourth proportional to 9,234.84, 12,744 and 5,043.09 is: 6,959.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,234.84 : 12,744 = 5,043.09 : x
  2. Step 2: Convert to fraction form
    9,234.84/12,744 = 5,043.09/x
  3. Step 3: Cross multiply
    9,234.84x = 12,744 × 5,043.09
  4. Step 4: Simplify right side
    9,234.84x = 64,269,138.96
  5. Step 5: Solve for x
    x = 64,269,138.96/9,234.84
  6. Step 6: Final answer
    x = 6,959.42

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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.