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Finding the Fourth Proportional to 14,471.34, 19,970.70 and 8,183.70

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Solution

The fourth proportional to 14,471.34, 19,970.70 and 8,183.70 is: 11,293.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,471.34 : 19,970.70 = 8,183.70 : x
  2. Step 2: Convert to fraction form
    14,471.34/19,970.70 = 8,183.70/x
  3. Step 3: Cross multiply
    14,471.34x = 19,970.70 × 8,183.70
  4. Step 4: Simplify right side
    14,471.34x = 163,434,217.59
  5. Step 5: Solve for x
    x = 163,434,217.59/14,471.34
  6. Step 6: Final answer
    x = 11,293.65

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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.