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Finding the Fourth Proportional to 14,470.86, 19,969.83 and 8,183.10

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Solution

The fourth proportional to 14,470.86, 19,969.83 and 8,183.10 is: 11,292.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,470.86 : 19,969.83 = 8,183.10 : x
  2. Step 2: Convert to fraction form
    14,470.86/19,969.83 = 8,183.10/x
  3. Step 3: Cross multiply
    14,470.86x = 19,969.83 × 8,183.10
  4. Step 4: Simplify right side
    14,470.86x = 163,415,115.87
  5. Step 5: Solve for x
    x = 163,415,115.87/14,470.86
  6. Step 6: Final answer
    x = 11,292.70

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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.