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Finding the Fourth Proportional to 8,065, 11,104.24 and 7,326.80

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Solution

The fourth proportional to 8,065, 11,104.24 and 7,326.80 is: 10,087.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,065 : 11,104.24 = 7,326.80 : x
  2. Step 2: Convert to fraction form
    8,065/11,104.24 = 7,326.80/x
  3. Step 3: Cross multiply
    8,065x = 11,104.24 × 7,326.80
  4. Step 4: Simplify right side
    8,065x = 81,358,545.63
  5. Step 5: Solve for x
    x = 81,358,545.63/8,065
  6. Step 6: Final answer
    x = 10,087.85

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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.