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Finding the Fourth Proportional to 16,274.70, 24,415.60 and 6,922.70

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Solution

The fourth proportional to 16,274.70, 24,415.60 and 6,922.70 is: 10,385.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,274.70 : 24,415.60 = 6,922.70 : x
  2. Step 2: Convert to fraction form
    16,274.70/24,415.60 = 6,922.70/x
  3. Step 3: Cross multiply
    16,274.70x = 24,415.60 × 6,922.70
  4. Step 4: Simplify right side
    16,274.70x = 169,021,874.12
  5. Step 5: Solve for x
    x = 169,021,874.12/16,274.70
  6. Step 6: Final answer
    x = 10,385.56

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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.