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Finding the Fourth Proportional to 24,883, 37,325.22 and 6,415

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Solution

The fourth proportional to 24,883, 37,325.22 and 6,415 is: 9,622.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,883 : 37,325.22 = 6,415 : x
  2. Step 2: Convert to fraction form
    24,883/37,325.22 = 6,415/x
  3. Step 3: Cross multiply
    24,883x = 37,325.22 × 6,415
  4. Step 4: Simplify right side
    24,883x = 239,441,286.30
  5. Step 5: Solve for x
    x = 239,441,286.30/24,883
  6. Step 6: Final answer
    x = 9,622.69

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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.