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Finding the Fourth Proportional to 7,227.84, 9,974.88 and 5,016

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Solution

The fourth proportional to 7,227.84, 9,974.88 and 5,016 is: 6,922.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,227.84 : 9,974.88 = 5,016 : x
  2. Step 2: Convert to fraction form
    7,227.84/9,974.88 = 5,016/x
  3. Step 3: Cross multiply
    7,227.84x = 9,974.88 × 5,016
  4. Step 4: Simplify right side
    7,227.84x = 50,033,998.08
  5. Step 5: Solve for x
    x = 50,033,998.08/7,227.84
  6. Step 6: Final answer
    x = 6,922.40

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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.