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Finding the Fourth Proportional to 16,503.50, 22,774.73 and 8,949.84

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Solution

The fourth proportional to 16,503.50, 22,774.73 and 8,949.84 is: 12,350.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,503.50 : 22,774.73 = 8,949.84 : x
  2. Step 2: Convert to fraction form
    16,503.50/22,774.73 = 8,949.84/x
  3. Step 3: Cross multiply
    16,503.50x = 22,774.73 × 8,949.84
  4. Step 4: Simplify right side
    16,503.50x = 203,830,144.79
  5. Step 5: Solve for x
    x = 203,830,144.79/16,503.50
  6. Step 6: Final answer
    x = 12,350.73

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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.