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Finding the Fourth Proportional to 14,969.56, 20,657.82 and 8,682.52

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Solution

The fourth proportional to 14,969.56, 20,657.82 and 8,682.52 is: 11,981.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,969.56 : 20,657.82 = 8,682.52 : x
  2. Step 2: Convert to fraction form
    14,969.56/20,657.82 = 8,682.52/x
  3. Step 3: Cross multiply
    14,969.56x = 20,657.82 × 8,682.52
  4. Step 4: Simplify right side
    14,969.56x = 179,361,935.31
  5. Step 5: Solve for x
    x = 179,361,935.31/14,969.56
  6. Step 6: Final answer
    x = 11,981.78

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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.