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Finding the Fourth Proportional to 6,974.08, 9,624.36 and 3,830.38

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Solution

The fourth proportional to 6,974.08, 9,624.36 and 3,830.38 is: 5,286.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,974.08 : 9,624.36 = 3,830.38 : x
  2. Step 2: Convert to fraction form
    6,974.08/9,624.36 = 3,830.38/x
  3. Step 3: Cross multiply
    6,974.08x = 9,624.36 × 3,830.38
  4. Step 4: Simplify right side
    6,974.08x = 36,864,956.06
  5. Step 5: Solve for x
    x = 36,864,956.06/6,974.08
  6. Step 6: Final answer
    x = 5,286.00

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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.