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Finding the Fourth Proportional to 6,297.40, 9,446.10 and 5,735.80

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Solution

The fourth proportional to 6,297.40, 9,446.10 and 5,735.80 is: 8,603.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,297.40 : 9,446.10 = 5,735.80 : x
  2. Step 2: Convert to fraction form
    6,297.40/9,446.10 = 5,735.80/x
  3. Step 3: Cross multiply
    6,297.40x = 9,446.10 × 5,735.80
  4. Step 4: Simplify right side
    6,297.40x = 54,180,940.38
  5. Step 5: Solve for x
    x = 54,180,940.38/6,297.40
  6. Step 6: Final answer
    x = 8,603.70

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.