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Finding the Fourth Proportional to 24,626, 36,939.76 and 6,158

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Solution

The fourth proportional to 24,626, 36,939.76 and 6,158 is: 9,237.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,626 : 36,939.76 = 6,158 : x
  2. Step 2: Convert to fraction form
    24,626/36,939.76 = 6,158/x
  3. Step 3: Cross multiply
    24,626x = 36,939.76 × 6,158
  4. Step 4: Simplify right side
    24,626x = 227,475,042.08
  5. Step 5: Solve for x
    x = 227,475,042.08/24,626
  6. Step 6: Final answer
    x = 9,237.19

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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.