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Finding the Fourth Proportional to 8,051.94, 11,110.50 and 4,514.94

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Solution

The fourth proportional to 8,051.94, 11,110.50 and 4,514.94 is: 6,229.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,051.94 : 11,110.50 = 4,514.94 : x
  2. Step 2: Convert to fraction form
    8,051.94/11,110.50 = 4,514.94/x
  3. Step 3: Cross multiply
    8,051.94x = 11,110.50 × 4,514.94
  4. Step 4: Simplify right side
    8,051.94x = 50,163,240.87
  5. Step 5: Solve for x
    x = 50,163,240.87/8,051.94
  6. Step 6: Final answer
    x = 6,229.96

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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.