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Finding the Fourth Proportional to 16,256, 22,431.48 and 9,180.92

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Solution

The fourth proportional to 16,256, 22,431.48 and 9,180.92 is: 12,668.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,256 : 22,431.48 = 9,180.92 : x
  2. Step 2: Convert to fraction form
    16,256/22,431.48 = 9,180.92/x
  3. Step 3: Cross multiply
    16,256x = 22,431.48 × 9,180.92
  4. Step 4: Simplify right side
    16,256x = 205,941,623.36
  5. Step 5: Solve for x
    x = 205,941,623.36/16,256
  6. Step 6: Final answer
    x = 12,668.65

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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.