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Finding the Fourth Proportional to 7,882.97, 11,814.45 and 7,799.54

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Solution

The fourth proportional to 7,882.97, 11,814.45 and 7,799.54 is: 11,689.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,882.97 : 11,814.45 = 7,799.54 : x
  2. Step 2: Convert to fraction form
    7,882.97/11,814.45 = 7,799.54/x
  3. Step 3: Cross multiply
    7,882.97x = 11,814.45 × 7,799.54
  4. Step 4: Simplify right side
    7,882.97x = 92,147,268.11
  5. Step 5: Solve for x
    x = 92,147,268.11/7,882.97
  6. Step 6: Final answer
    x = 11,689.42

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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.