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Finding the Fourth Proportional to 16,170.24, 22,312.32 and 9,096.24

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Solution

The fourth proportional to 16,170.24, 22,312.32 and 9,096.24 is: 12,551.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,170.24 : 22,312.32 = 9,096.24 : x
  2. Step 2: Convert to fraction form
    16,170.24/22,312.32 = 9,096.24/x
  3. Step 3: Cross multiply
    16,170.24x = 22,312.32 × 9,096.24
  4. Step 4: Simplify right side
    16,170.24x = 202,958,217.68
  5. Step 5: Solve for x
    x = 202,958,217.68/16,170.24
  6. Step 6: Final answer
    x = 12,551.34

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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.