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Finding the Fourth Proportional to 15,274, 22,914.84 and 4,330

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Solution

The fourth proportional to 15,274, 22,914.84 and 4,330 is: 6,496.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,274 : 22,914.84 = 4,330 : x
  2. Step 2: Convert to fraction form
    15,274/22,914.84 = 4,330/x
  3. Step 3: Cross multiply
    15,274x = 22,914.84 × 4,330
  4. Step 4: Simplify right side
    15,274x = 99,221,257.20
  5. Step 5: Solve for x
    x = 99,221,257.20/15,274
  6. Step 6: Final answer
    x = 6,496.09

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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.