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Finding the Fourth Proportional to 26,153, 39,229.50 and 6,697

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Solution

The fourth proportional to 26,153, 39,229.50 and 6,697 is: 10,045.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,153 : 39,229.50 = 6,697 : x
  2. Step 2: Convert to fraction form
    26,153/39,229.50 = 6,697/x
  3. Step 3: Cross multiply
    26,153x = 39,229.50 × 6,697
  4. Step 4: Simplify right side
    26,153x = 262,719,961.50
  5. Step 5: Solve for x
    x = 262,719,961.50/26,153
  6. Step 6: Final answer
    x = 10,045.50

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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.