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Finding the Fourth Proportional to 24,784.43, 37,178.36 and 9,993.48

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Solution

The fourth proportional to 24,784.43, 37,178.36 and 9,993.48 is: 14,990.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,784.43 : 37,178.36 = 9,993.48 : x
  2. Step 2: Convert to fraction form
    24,784.43/37,178.36 = 9,993.48/x
  3. Step 3: Cross multiply
    24,784.43x = 37,178.36 × 9,993.48
  4. Step 4: Simplify right side
    24,784.43x = 371,541,197.09
  5. Step 5: Solve for x
    x = 371,541,197.09/24,784.43
  6. Step 6: Final answer
    x = 14,990.91

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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.