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Finding the Fourth Proportional to 11,674.62, 17,512.74 and 5,754.66

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Solution

The fourth proportional to 11,674.62, 17,512.74 and 5,754.66 is: 8,632.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,674.62 : 17,512.74 = 5,754.66 : x
  2. Step 2: Convert to fraction form
    11,674.62/17,512.74 = 5,754.66/x
  3. Step 3: Cross multiply
    11,674.62x = 17,512.74 × 5,754.66
  4. Step 4: Simplify right side
    11,674.62x = 100,779,864.37
  5. Step 5: Solve for x
    x = 100,779,864.37/11,674.62
  6. Step 6: Final answer
    x = 8,632.39

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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.