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Finding the Fourth Proportional to 8,089.73, 12,134.18 and 2,823.11

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Solution

The fourth proportional to 8,089.73, 12,134.18 and 2,823.11 is: 4,234.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,089.73 : 12,134.18 = 2,823.11 : x
  2. Step 2: Convert to fraction form
    8,089.73/12,134.18 = 2,823.11/x
  3. Step 3: Cross multiply
    8,089.73x = 12,134.18 × 2,823.11
  4. Step 4: Simplify right side
    8,089.73x = 34,256,071.29
  5. Step 5: Solve for x
    x = 34,256,071.29/8,089.73
  6. Step 6: Final answer
    x = 4,234.52

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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.