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Finding the Fourth Proportional to 7,601.34, 11,394.32 and 3,646.79

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Solution

The fourth proportional to 7,601.34, 11,394.32 and 3,646.79 is: 5,466.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,601.34 : 11,394.32 = 3,646.79 : x
  2. Step 2: Convert to fraction form
    7,601.34/11,394.32 = 3,646.79/x
  3. Step 3: Cross multiply
    7,601.34x = 11,394.32 × 3,646.79
  4. Step 4: Simplify right side
    7,601.34x = 41,552,680.27
  5. Step 5: Solve for x
    x = 41,552,680.27/7,601.34
  6. Step 6: Final answer
    x = 5,466.49

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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.