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Finding the Fourth Proportional to 14,969.14, 20,657.88 and 9,227.86

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Solution

The fourth proportional to 14,969.14, 20,657.88 and 9,227.86 is: 12,734.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,969.14 : 20,657.88 = 9,227.86 : x
  2. Step 2: Convert to fraction form
    14,969.14/20,657.88 = 9,227.86/x
  3. Step 3: Cross multiply
    14,969.14x = 20,657.88 × 9,227.86
  4. Step 4: Simplify right side
    14,969.14x = 190,628,024.54
  5. Step 5: Solve for x
    x = 190,628,024.54/14,969.14
  6. Step 6: Final answer
    x = 12,734.73

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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.