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Finding the Fourth Proportional to 14,968.22, 20,657.06 and 8,253.82

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Solution

The fourth proportional to 14,968.22, 20,657.06 and 8,253.82 is: 11,390.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,968.22 : 20,657.06 = 8,253.82 : x
  2. Step 2: Convert to fraction form
    14,968.22/20,657.06 = 8,253.82/x
  3. Step 3: Cross multiply
    14,968.22x = 20,657.06 × 8,253.82
  4. Step 4: Simplify right side
    14,968.22x = 170,499,654.97
  5. Step 5: Solve for x
    x = 170,499,654.97/14,968.22
  6. Step 6: Final answer
    x = 11,390.78

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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.