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Finding the Fourth Proportional to 14,843.21, 22,257.89 and 8,605

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Solution

The fourth proportional to 14,843.21, 22,257.89 and 8,605 is: 12,903.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,843.21 : 22,257.89 = 8,605 : x
  2. Step 2: Convert to fraction form
    14,843.21/22,257.89 = 8,605/x
  3. Step 3: Cross multiply
    14,843.21x = 22,257.89 × 8,605
  4. Step 4: Simplify right side
    14,843.21x = 191,529,143.45
  5. Step 5: Solve for x
    x = 191,529,143.45/14,843.21
  6. Step 6: Final answer
    x = 12,903.49

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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.