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Finding the Fourth Proportional to 24,833.90, 37,253.42 and 7,960.97

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Solution

The fourth proportional to 24,833.90, 37,253.42 and 7,960.97 is: 11,942.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,833.90 : 37,253.42 = 7,960.97 : x
  2. Step 2: Convert to fraction form
    24,833.90/37,253.42 = 7,960.97/x
  3. Step 3: Cross multiply
    24,833.90x = 37,253.42 × 7,960.97
  4. Step 4: Simplify right side
    24,833.90x = 296,573,359.02
  5. Step 5: Solve for x
    x = 296,573,359.02/24,833.90
  6. Step 6: Final answer
    x = 11,942.28

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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.