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Finding the Fourth Proportional to 16,214.34, 22,375.79 and 8,762.34

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Solution

The fourth proportional to 16,214.34, 22,375.79 and 8,762.34 is: 12,092.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,214.34 : 22,375.79 = 8,762.34 : x
  2. Step 2: Convert to fraction form
    16,214.34/22,375.79 = 8,762.34/x
  3. Step 3: Cross multiply
    16,214.34x = 22,375.79 × 8,762.34
  4. Step 4: Simplify right side
    16,214.34x = 196,064,401.99
  5. Step 5: Solve for x
    x = 196,064,401.99/16,214.34
  6. Step 6: Final answer
    x = 12,092.03

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.