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Finding the Fourth Proportional to 14,971.44, 20,659.44 and 8,257.32

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Solution

The fourth proportional to 14,971.44, 20,659.44 and 8,257.32 is: 11,394.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,971.44 : 20,659.44 = 8,257.32 : x
  2. Step 2: Convert to fraction form
    14,971.44/20,659.44 = 8,257.32/x
  3. Step 3: Cross multiply
    14,971.44x = 20,659.44 × 8,257.32
  4. Step 4: Simplify right side
    14,971.44x = 170,591,607.10
  5. Step 5: Solve for x
    x = 170,591,607.10/14,971.44
  6. Step 6: Final answer
    x = 11,394.47

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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.