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Finding the Fourth Proportional to 6,503.50, 9,747.46 and 3,337.69

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Solution

The fourth proportional to 6,503.50, 9,747.46 and 3,337.69 is: 5,002.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,503.50 : 9,747.46 = 3,337.69 : x
  2. Step 2: Convert to fraction form
    6,503.50/9,747.46 = 3,337.69/x
  3. Step 3: Cross multiply
    6,503.50x = 9,747.46 × 3,337.69
  4. Step 4: Simplify right side
    6,503.50x = 32,533,999.77
  5. Step 5: Solve for x
    x = 32,533,999.77/6,503.50
  6. Step 6: Final answer
    x = 5,002.54

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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.