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Finding the Fourth Proportional to 14,451.96, 19,947.33 and 8,167.98

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Solution

The fourth proportional to 14,451.96, 19,947.33 and 8,167.98 is: 11,273.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,451.96 : 19,947.33 = 8,167.98 : x
  2. Step 2: Convert to fraction form
    14,451.96/19,947.33 = 8,167.98/x
  3. Step 3: Cross multiply
    14,451.96x = 19,947.33 × 8,167.98
  4. Step 4: Simplify right side
    14,451.96x = 162,929,392.49
  5. Step 5: Solve for x
    x = 162,929,392.49/14,451.96
  6. Step 6: Final answer
    x = 11,273.86

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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.