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Finding the Fourth Proportional to 7,228.42, 9,974.94 and 4,084.67

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Solution

The fourth proportional to 7,228.42, 9,974.94 and 4,084.67 is: 5,636.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,228.42 : 9,974.94 = 4,084.67 : x
  2. Step 2: Convert to fraction form
    7,228.42/9,974.94 = 4,084.67/x
  3. Step 3: Cross multiply
    7,228.42x = 9,974.94 × 4,084.67
  4. Step 4: Simplify right side
    7,228.42x = 40,744,338.17
  5. Step 5: Solve for x
    x = 40,744,338.17/7,228.42
  6. Step 6: Final answer
    x = 5,636.69

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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.