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Finding the Fourth Proportional to 26,162, 39,260.64 and 9,746

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Solution

The fourth proportional to 26,162, 39,260.64 and 9,746 is: 14,625.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,162 : 39,260.64 = 9,746 : x
  2. Step 2: Convert to fraction form
    26,162/39,260.64 = 9,746/x
  3. Step 3: Cross multiply
    26,162x = 39,260.64 × 9,746
  4. Step 4: Simplify right side
    26,162x = 382,634,197.44
  5. Step 5: Solve for x
    x = 382,634,197.44/26,162
  6. Step 6: Final answer
    x = 14,625.57

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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.