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Finding the Fourth Proportional to 10,744.44, 16,128.54 and 6,370.44

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Solution

The fourth proportional to 10,744.44, 16,128.54 and 6,370.44 is: 9,562.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,744.44 : 16,128.54 = 6,370.44 : x
  2. Step 2: Convert to fraction form
    10,744.44/16,128.54 = 6,370.44/x
  3. Step 3: Cross multiply
    10,744.44x = 16,128.54 × 6,370.44
  4. Step 4: Simplify right side
    10,744.44x = 102,745,896.36
  5. Step 5: Solve for x
    x = 102,745,896.36/10,744.44
  6. Step 6: Final answer
    x = 9,562.70

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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.