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Finding the Fourth Proportional to 11,195, 16,792.39 and 4,174.77

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Solution

The fourth proportional to 11,195, 16,792.39 and 4,174.77 is: 6,262.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,195 : 16,792.39 = 4,174.77 : x
  2. Step 2: Convert to fraction form
    11,195/16,792.39 = 4,174.77/x
  3. Step 3: Cross multiply
    11,195x = 16,792.39 × 4,174.77
  4. Step 4: Simplify right side
    11,195x = 70,104,366.00
  5. Step 5: Solve for x
    x = 70,104,366.00/11,195
  6. Step 6: Final answer
    x = 6,262.11

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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.