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Finding the Fourth Proportional to 11,429.94, 15,754.44 and 7,651.74

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Solution

The fourth proportional to 11,429.94, 15,754.44 and 7,651.74 is: 10,546.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,429.94 : 15,754.44 = 7,651.74 : x
  2. Step 2: Convert to fraction form
    11,429.94/15,754.44 = 7,651.74/x
  3. Step 3: Cross multiply
    11,429.94x = 15,754.44 × 7,651.74
  4. Step 4: Simplify right side
    11,429.94x = 120,548,878.73
  5. Step 5: Solve for x
    x = 120,548,878.73/11,429.94
  6. Step 6: Final answer
    x = 10,546.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.