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Finding the Fourth Proportional to 24,601.75, 36,902.76 and 6,133.75

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Solution

The fourth proportional to 24,601.75, 36,902.76 and 6,133.75 is: 9,200.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,601.75 : 36,902.76 = 6,133.75 : x
  2. Step 2: Convert to fraction form
    24,601.75/36,902.76 = 6,133.75/x
  3. Step 3: Cross multiply
    24,601.75x = 36,902.76 × 6,133.75
  4. Step 4: Simplify right side
    24,601.75x = 226,352,304.15
  5. Step 5: Solve for x
    x = 226,352,304.15/24,601.75
  6. Step 6: Final answer
    x = 9,200.66

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1.5x scale

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.