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Finding the Fourth Proportional to 18,451.26, 27,685 and 9,684.14

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Solution

The fourth proportional to 18,451.26, 27,685 and 9,684.14 is: 14,530.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,451.26 : 27,685 = 9,684.14 : x
  2. Step 2: Convert to fraction form
    18,451.26/27,685 = 9,684.14/x
  3. Step 3: Cross multiply
    18,451.26x = 27,685 × 9,684.14
  4. Step 4: Simplify right side
    18,451.26x = 268,105,415.90
  5. Step 5: Solve for x
    x = 268,105,415.90/18,451.26
  6. Step 6: Final answer
    x = 14,530.47

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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.