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Finding the Fourth Proportional to 22,757, 34,135.52 and 6,341

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Solution

The fourth proportional to 22,757, 34,135.52 and 6,341 is: 9,511.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,757 : 34,135.52 = 6,341 : x
  2. Step 2: Convert to fraction form
    22,757/34,135.52 = 6,341/x
  3. Step 3: Cross multiply
    22,757x = 34,135.52 × 6,341
  4. Step 4: Simplify right side
    22,757x = 216,453,332.32
  5. Step 5: Solve for x
    x = 216,453,332.32/22,757
  6. Step 6: Final answer
    x = 9,511.51

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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.