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Finding the Fourth Proportional to 16,481.32, 22,743.64 and 9,407.46

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Solution

The fourth proportional to 16,481.32, 22,743.64 and 9,407.46 is: 12,981.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,481.32 : 22,743.64 = 9,407.46 : x
  2. Step 2: Convert to fraction form
    16,481.32/22,743.64 = 9,407.46/x
  3. Step 3: Cross multiply
    16,481.32x = 22,743.64 × 9,407.46
  4. Step 4: Simplify right side
    16,481.32x = 213,959,883.55
  5. Step 5: Solve for x
    x = 213,959,883.55/16,481.32
  6. Step 6: Final answer
    x = 12,981.96

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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.