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Finding the Fourth Proportional to 22,673, 34,011.46 and 6,257

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Solution

The fourth proportional to 22,673, 34,011.46 and 6,257 is: 9,386.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,673 : 34,011.46 = 6,257 : x
  2. Step 2: Convert to fraction form
    22,673/34,011.46 = 6,257/x
  3. Step 3: Cross multiply
    22,673x = 34,011.46 × 6,257
  4. Step 4: Simplify right side
    22,673x = 212,809,705.22
  5. Step 5: Solve for x
    x = 212,809,705.22/22,673
  6. Step 6: Final answer
    x = 9,386.04

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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.