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Finding the Fourth Proportional to 11,595.50, 17,379.86 and 5,342.44

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Solution

The fourth proportional to 11,595.50, 17,379.86 and 5,342.44 is: 8,007.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,595.50 : 17,379.86 = 5,342.44 : x
  2. Step 2: Convert to fraction form
    11,595.50/17,379.86 = 5,342.44/x
  3. Step 3: Cross multiply
    11,595.50x = 17,379.86 × 5,342.44
  4. Step 4: Simplify right side
    11,595.50x = 92,850,859.26
  5. Step 5: Solve for x
    x = 92,850,859.26/11,595.50
  6. Step 6: Final answer
    x = 8,007.49

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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.