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Finding the Fourth Proportional to 6,307.40, 9,446.70 and 3,974.60

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Solution

The fourth proportional to 6,307.40, 9,446.70 and 3,974.60 is: 5,952.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,307.40 : 9,446.70 = 3,974.60 : x
  2. Step 2: Convert to fraction form
    6,307.40/9,446.70 = 3,974.60/x
  3. Step 3: Cross multiply
    6,307.40x = 9,446.70 × 3,974.60
  4. Step 4: Simplify right side
    6,307.40x = 37,546,853.82
  5. Step 5: Solve for x
    x = 37,546,853.82/6,307.40
  6. Step 6: Final answer
    x = 5,952.83

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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.