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Finding the Fourth Proportional to 8,141.82, 11,235.78 and 4,415.82

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Solution

The fourth proportional to 8,141.82, 11,235.78 and 4,415.82 is: 6,093.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,141.82 : 11,235.78 = 4,415.82 : x
  2. Step 2: Convert to fraction form
    8,141.82/11,235.78 = 4,415.82/x
  3. Step 3: Cross multiply
    8,141.82x = 11,235.78 × 4,415.82
  4. Step 4: Simplify right side
    8,141.82x = 49,615,182.04
  5. Step 5: Solve for x
    x = 49,615,182.04/8,141.82
  6. Step 6: Final answer
    x = 6,093.87

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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.