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Finding the Fourth Proportional to 22,774, 34,166.76 and 6,358

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Solution

The fourth proportional to 22,774, 34,166.76 and 6,358 is: 9,538.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,774 : 34,166.76 = 6,358 : x
  2. Step 2: Convert to fraction form
    22,774/34,166.76 = 6,358/x
  3. Step 3: Cross multiply
    22,774x = 34,166.76 × 6,358
  4. Step 4: Simplify right side
    22,774x = 217,232,260.08
  5. Step 5: Solve for x
    x = 217,232,260.08/22,774
  6. Step 6: Final answer
    x = 9,538.61

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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.