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Finding the Fourth Proportional to 12,592.29, 18,891.15 and 3,827.91

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Solution

The fourth proportional to 12,592.29, 18,891.15 and 3,827.91 is: 5,742.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,592.29 : 18,891.15 = 3,827.91 : x
  2. Step 2: Convert to fraction form
    12,592.29/18,891.15 = 3,827.91/x
  3. Step 3: Cross multiply
    12,592.29x = 18,891.15 × 3,827.91
  4. Step 4: Simplify right side
    12,592.29x = 72,313,508.40
  5. Step 5: Solve for x
    x = 72,313,508.40/12,592.29
  6. Step 6: Final answer
    x = 5,742.68

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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.