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Finding the Fourth Proportional to 6,217.70, 9,337.35 and 3,301.70

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Solution

The fourth proportional to 6,217.70, 9,337.35 and 3,301.70 is: 4,958.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,217.70 : 9,337.35 = 3,301.70 : x
  2. Step 2: Convert to fraction form
    6,217.70/9,337.35 = 3,301.70/x
  3. Step 3: Cross multiply
    6,217.70x = 9,337.35 × 3,301.70
  4. Step 4: Simplify right side
    6,217.70x = 30,829,128.50
  5. Step 5: Solve for x
    x = 30,829,128.50/6,217.70
  6. Step 6: Final answer
    x = 4,958.28

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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.