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Finding the Fourth Proportional to 7,822.26, 11,672.55 and 7,634.61

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Solution

The fourth proportional to 7,822.26, 11,672.55 and 7,634.61 is: 11,392.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,822.26 : 11,672.55 = 7,634.61 : x
  2. Step 2: Convert to fraction form
    7,822.26/11,672.55 = 7,634.61/x
  3. Step 3: Cross multiply
    7,822.26x = 11,672.55 × 7,634.61
  4. Step 4: Simplify right side
    7,822.26x = 89,115,366.96
  5. Step 5: Solve for x
    x = 89,115,366.96/7,822.26
  6. Step 6: Final answer
    x = 11,392.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.