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Finding the Fourth Proportional to 8,396.21, 11,586.42 and 4,619.14

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Solution

The fourth proportional to 8,396.21, 11,586.42 and 4,619.14 is: 6,374.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,396.21 : 11,586.42 = 4,619.14 : x
  2. Step 2: Convert to fraction form
    8,396.21/11,586.42 = 4,619.14/x
  3. Step 3: Cross multiply
    8,396.21x = 11,586.42 × 4,619.14
  4. Step 4: Simplify right side
    8,396.21x = 53,519,296.08
  5. Step 5: Solve for x
    x = 53,519,296.08/8,396.21
  6. Step 6: Final answer
    x = 6,374.22

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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.