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Finding the Fourth Proportional to 5,896.96, 8,845.44 and 1,514.42

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Solution

The fourth proportional to 5,896.96, 8,845.44 and 1,514.42 is: 2,271.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,896.96 : 8,845.44 = 1,514.42 : x
  2. Step 2: Convert to fraction form
    5,896.96/8,845.44 = 1,514.42/x
  3. Step 3: Cross multiply
    5,896.96x = 8,845.44 × 1,514.42
  4. Step 4: Simplify right side
    5,896.96x = 13,395,711.24
  5. Step 5: Solve for x
    x = 13,395,711.24/5,896.96
  6. Step 6: Final answer
    x = 2,271.63

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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.