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Finding the Fourth Proportional to 29,697.87, 44,546.82 and 9,976.47

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Solution

The fourth proportional to 29,697.87, 44,546.82 and 9,976.47 is: 14,964.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,697.87 : 44,546.82 = 9,976.47 : x
  2. Step 2: Convert to fraction form
    29,697.87/44,546.82 = 9,976.47/x
  3. Step 3: Cross multiply
    29,697.87x = 44,546.82 × 9,976.47
  4. Step 4: Simplify right side
    29,697.87x = 444,420,013.33
  5. Step 5: Solve for x
    x = 444,420,013.33/29,697.87
  6. Step 6: Final answer
    x = 14,964.71

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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.