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Finding the Fourth Proportional to 8,650.74, 12,974 and 3,967.82

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Solution

The fourth proportional to 8,650.74, 12,974 and 3,967.82 is: 5,950.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,650.74 : 12,974 = 3,967.82 : x
  2. Step 2: Convert to fraction form
    8,650.74/12,974 = 3,967.82/x
  3. Step 3: Cross multiply
    8,650.74x = 12,974 × 3,967.82
  4. Step 4: Simplify right side
    8,650.74x = 51,478,496.68
  5. Step 5: Solve for x
    x = 51,478,496.68/8,650.74
  6. Step 6: Final answer
    x = 5,950.76

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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.