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Finding the Fourth Proportional to 24,632, 36,947.84 and 6,164

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Solution

The fourth proportional to 24,632, 36,947.84 and 6,164 is: 9,245.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,632 : 36,947.84 = 6,164 : x
  2. Step 2: Convert to fraction form
    24,632/36,947.84 = 6,164/x
  3. Step 3: Cross multiply
    24,632x = 36,947.84 × 6,164
  4. Step 4: Simplify right side
    24,632x = 227,746,485.76
  5. Step 5: Solve for x
    x = 227,746,485.76/24,632
  6. Step 6: Final answer
    x = 9,245.96

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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.