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Finding the Fourth Proportional to 16,224.75, 22,390.16 and 8,772.75

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Solution

The fourth proportional to 16,224.75, 22,390.16 and 8,772.75 is: 12,106.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,224.75 : 22,390.16 = 8,772.75 : x
  2. Step 2: Convert to fraction form
    16,224.75/22,390.16 = 8,772.75/x
  3. Step 3: Cross multiply
    16,224.75x = 22,390.16 × 8,772.75
  4. Step 4: Simplify right side
    16,224.75x = 196,423,232.28
  5. Step 5: Solve for x
    x = 196,423,232.28/16,224.75
  6. Step 6: Final answer
    x = 12,106.40

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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.