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Finding the Fourth Proportional to 22,846.34, 34,272.11 and 8,051.74

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Solution

The fourth proportional to 22,846.34, 34,272.11 and 8,051.74 is: 12,078.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,846.34 : 34,272.11 = 8,051.74 : x
  2. Step 2: Convert to fraction form
    22,846.34/34,272.11 = 8,051.74/x
  3. Step 3: Cross multiply
    22,846.34x = 34,272.11 × 8,051.74
  4. Step 4: Simplify right side
    22,846.34x = 275,950,053.42
  5. Step 5: Solve for x
    x = 275,950,053.42/22,846.34
  6. Step 6: Final answer
    x = 12,078.52

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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.