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Finding the Fourth Proportional to 22,876.84, 34,310.46 and 6,457

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Solution

The fourth proportional to 22,876.84, 34,310.46 and 6,457 is: 9,684.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,876.84 : 34,310.46 = 6,457 : x
  2. Step 2: Convert to fraction form
    22,876.84/34,310.46 = 6,457/x
  3. Step 3: Cross multiply
    22,876.84x = 34,310.46 × 6,457
  4. Step 4: Simplify right side
    22,876.84x = 221,542,640.22
  5. Step 5: Solve for x
    x = 221,542,640.22/22,876.84
  6. Step 6: Final answer
    x = 9,684.15

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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.