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Finding the Fourth Proportional to 6,239.50, 9,372.90 and 4,606.54

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Solution

The fourth proportional to 6,239.50, 9,372.90 and 4,606.54 is: 6,919.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,239.50 : 9,372.90 = 4,606.54 : x
  2. Step 2: Convert to fraction form
    6,239.50/9,372.90 = 4,606.54/x
  3. Step 3: Cross multiply
    6,239.50x = 9,372.90 × 4,606.54
  4. Step 4: Simplify right side
    6,239.50x = 43,176,638.77
  5. Step 5: Solve for x
    x = 43,176,638.77/6,239.50
  6. Step 6: Final answer
    x = 6,919.89

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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.