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Finding the Fourth Proportional to 24,633, 36,949.34 and 6,165

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Solution

The fourth proportional to 24,633, 36,949.34 and 6,165 is: 9,247.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,633 : 36,949.34 = 6,165 : x
  2. Step 2: Convert to fraction form
    24,633/36,949.34 = 6,165/x
  3. Step 3: Cross multiply
    24,633x = 36,949.34 × 6,165
  4. Step 4: Simplify right side
    24,633x = 227,792,681.10
  5. Step 5: Solve for x
    x = 227,792,681.10/24,633
  6. Step 6: Final answer
    x = 9,247.46

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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.