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Finding the Fourth Proportional to 7,922.62, 11,866.84 and 7,456.83

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Solution

The fourth proportional to 7,922.62, 11,866.84 and 7,456.83 is: 11,169.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,922.62 : 11,866.84 = 7,456.83 : x
  2. Step 2: Convert to fraction form
    7,922.62/11,866.84 = 7,456.83/x
  3. Step 3: Cross multiply
    7,922.62x = 11,866.84 × 7,456.83
  4. Step 4: Simplify right side
    7,922.62x = 88,489,041.14
  5. Step 5: Solve for x
    x = 88,489,041.14/7,922.62
  6. Step 6: Final answer
    x = 11,169.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.