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Finding the Fourth Proportional to 22,675, 34,014.46 and 6,259

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Solution

The fourth proportional to 22,675, 34,014.46 and 6,259 is: 9,389.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,675 : 34,014.46 = 6,259 : x
  2. Step 2: Convert to fraction form
    22,675/34,014.46 = 6,259/x
  3. Step 3: Cross multiply
    22,675x = 34,014.46 × 6,259
  4. Step 4: Simplify right side
    22,675x = 212,896,505.14
  5. Step 5: Solve for x
    x = 212,896,505.14/22,675
  6. Step 6: Final answer
    x = 9,389.04

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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.