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Finding the Fourth Proportional to 11,576.62, 15,976.04 and 7,037.79

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Solution

The fourth proportional to 11,576.62, 15,976.04 and 7,037.79 is: 9,712.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,576.62 : 15,976.04 = 7,037.79 : x
  2. Step 2: Convert to fraction form
    11,576.62/15,976.04 = 7,037.79/x
  3. Step 3: Cross multiply
    11,576.62x = 15,976.04 × 7,037.79
  4. Step 4: Simplify right side
    11,576.62x = 112,435,919.45
  5. Step 5: Solve for x
    x = 112,435,919.45/11,576.62
  6. Step 6: Final answer
    x = 9,712.33

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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.