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Finding the Fourth Proportional to 7,126.77, 9,836.09 and 4,474.56

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Solution

The fourth proportional to 7,126.77, 9,836.09 and 4,474.56 is: 6,175.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,126.77 : 9,836.09 = 4,474.56 : x
  2. Step 2: Convert to fraction form
    7,126.77/9,836.09 = 4,474.56/x
  3. Step 3: Cross multiply
    7,126.77x = 9,836.09 × 4,474.56
  4. Step 4: Simplify right side
    7,126.77x = 44,012,174.87
  5. Step 5: Solve for x
    x = 44,012,174.87/7,126.77
  6. Step 6: Final answer
    x = 6,175.61

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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.