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Finding the Fourth Proportional to 14,573, 21,863.19 and 4,184.75

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Solution

The fourth proportional to 14,573, 21,863.19 and 4,184.75 is: 6,278.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,573 : 21,863.19 = 4,184.75 : x
  2. Step 2: Convert to fraction form
    14,573/21,863.19 = 4,184.75/x
  3. Step 3: Cross multiply
    14,573x = 21,863.19 × 4,184.75
  4. Step 4: Simplify right side
    14,573x = 91,491,984.35
  5. Step 5: Solve for x
    x = 91,491,984.35/14,573
  6. Step 6: Final answer
    x = 6,278.18

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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.