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Finding the Fourth Proportional to 6,601.50, 9,897.09 and 3,477.42

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Solution

The fourth proportional to 6,601.50, 9,897.09 and 3,477.42 is: 5,213.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,601.50 : 9,897.09 = 3,477.42 : x
  2. Step 2: Convert to fraction form
    6,601.50/9,897.09 = 3,477.42/x
  3. Step 3: Cross multiply
    6,601.50x = 9,897.09 × 3,477.42
  4. Step 4: Simplify right side
    6,601.50x = 34,416,338.71
  5. Step 5: Solve for x
    x = 34,416,338.71/6,601.50
  6. Step 6: Final answer
    x = 5,213.41

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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.