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Finding the Fourth Proportional to 18,071.10, 27,098.55 and 8,205.30

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Solution

The fourth proportional to 18,071.10, 27,098.55 and 8,205.30 is: 12,304.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,071.10 : 27,098.55 = 8,205.30 : x
  2. Step 2: Convert to fraction form
    18,071.10/27,098.55 = 8,205.30/x
  3. Step 3: Cross multiply
    18,071.10x = 27,098.55 × 8,205.30
  4. Step 4: Simplify right side
    18,071.10x = 222,351,732.32
  5. Step 5: Solve for x
    x = 222,351,732.32/18,071.10
  6. Step 6: Final answer
    x = 12,304.27

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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.