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Finding the Fourth Proportional to 26,095, 39,149.70 and 7,627

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Solution

The fourth proportional to 26,095, 39,149.70 and 7,627 is: 11,442.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,095 : 39,149.70 = 7,627 : x
  2. Step 2: Convert to fraction form
    26,095/39,149.70 = 7,627/x
  3. Step 3: Cross multiply
    26,095x = 39,149.70 × 7,627
  4. Step 4: Simplify right side
    26,095x = 298,594,761.90
  5. Step 5: Solve for x
    x = 298,594,761.90/26,095
  6. Step 6: Final answer
    x = 11,442.60

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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.