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Finding the Fourth Proportional to 7,974.24, 11,902.98 and 7,396.02

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Solution

The fourth proportional to 7,974.24, 11,902.98 and 7,396.02 is: 11,039.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,974.24 : 11,902.98 = 7,396.02 : x
  2. Step 2: Convert to fraction form
    7,974.24/11,902.98 = 7,396.02/x
  3. Step 3: Cross multiply
    7,974.24x = 11,902.98 × 7,396.02
  4. Step 4: Simplify right side
    7,974.24x = 88,034,678.14
  5. Step 5: Solve for x
    x = 88,034,678.14/7,974.24
  6. Step 6: Final answer
    x = 11,039.88

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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.