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Finding the Fourth Proportional to 6,974.01, 9,624.15 and 3,830.40

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Solution

The fourth proportional to 6,974.01, 9,624.15 and 3,830.40 is: 5,285.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,974.01 : 9,624.15 = 3,830.40 : x
  2. Step 2: Convert to fraction form
    6,974.01/9,624.15 = 3,830.40/x
  3. Step 3: Cross multiply
    6,974.01x = 9,624.15 × 3,830.40
  4. Step 4: Simplify right side
    6,974.01x = 36,864,344.16
  5. Step 5: Solve for x
    x = 36,864,344.16/6,974.01
  6. Step 6: Final answer
    x = 5,285.96

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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.