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Finding the Fourth Proportional to 16,412.63, 22,649.57 and 8,960.63

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Solution

The fourth proportional to 16,412.63, 22,649.57 and 8,960.63 is: 12,365.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,412.63 : 22,649.57 = 8,960.63 : x
  2. Step 2: Convert to fraction form
    16,412.63/22,649.57 = 8,960.63/x
  3. Step 3: Cross multiply
    16,412.63x = 22,649.57 × 8,960.63
  4. Step 4: Simplify right side
    16,412.63x = 202,954,258.38
  5. Step 5: Solve for x
    x = 202,954,258.38/16,412.63
  6. Step 6: Final answer
    x = 12,365.74

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Half scale
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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.