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Finding the Fourth Proportional to 16,274.40, 22,460.67 and 9,200.67

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Solution

The fourth proportional to 16,274.40, 22,460.67 and 9,200.67 is: 12,698.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,274.40 : 22,460.67 = 9,200.67 : x
  2. Step 2: Convert to fraction form
    16,274.40/22,460.67 = 9,200.67/x
  3. Step 3: Cross multiply
    16,274.40x = 22,460.67 × 9,200.67
  4. Step 4: Simplify right side
    16,274.40x = 206,653,212.65
  5. Step 5: Solve for x
    x = 206,653,212.65/16,274.40
  6. Step 6: Final answer
    x = 12,698.05

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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.