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Finding the Fourth Proportional to 7,618.67, 11,344.75 and 7,338.42

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Solution

The fourth proportional to 7,618.67, 11,344.75 and 7,338.42 is: 10,927.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,618.67 : 11,344.75 = 7,338.42 : x
  2. Step 2: Convert to fraction form
    7,618.67/11,344.75 = 7,338.42/x
  3. Step 3: Cross multiply
    7,618.67x = 11,344.75 × 7,338.42
  4. Step 4: Simplify right side
    7,618.67x = 83,252,540.30
  5. Step 5: Solve for x
    x = 83,252,540.30/7,618.67
  6. Step 6: Final answer
    x = 10,927.44

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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.