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Finding the Fourth Proportional to 8,141.94, 11,232.89 and 4,953.94

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Solution

The fourth proportional to 8,141.94, 11,232.89 and 4,953.94 is: 6,834.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,141.94 : 11,232.89 = 4,953.94 : x
  2. Step 2: Convert to fraction form
    8,141.94/11,232.89 = 4,953.94/x
  3. Step 3: Cross multiply
    8,141.94x = 11,232.89 × 4,953.94
  4. Step 4: Simplify right side
    8,141.94x = 55,647,010.23
  5. Step 5: Solve for x
    x = 55,647,010.23/8,141.94
  6. Step 6: Final answer
    x = 6,834.61

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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.