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Finding the Fourth Proportional to 15,196.16, 22,786.94 and 7,184.27

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Solution

The fourth proportional to 15,196.16, 22,786.94 and 7,184.27 is: 10,772.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,196.16 : 22,786.94 = 7,184.27 : x
  2. Step 2: Convert to fraction form
    15,196.16/22,786.94 = 7,184.27/x
  3. Step 3: Cross multiply
    15,196.16x = 22,786.94 × 7,184.27
  4. Step 4: Simplify right side
    15,196.16x = 163,707,604.36
  5. Step 5: Solve for x
    x = 163,707,604.36/15,196.16
  6. Step 6: Final answer
    x = 10,772.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.