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Finding the Fourth Proportional to 6,036.50, 9,049.08 and 5,495.42

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Solution

The fourth proportional to 6,036.50, 9,049.08 and 5,495.42 is: 8,237.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,036.50 : 9,049.08 = 5,495.42 : x
  2. Step 2: Convert to fraction form
    6,036.50/9,049.08 = 5,495.42/x
  3. Step 3: Cross multiply
    6,036.50x = 9,049.08 × 5,495.42
  4. Step 4: Simplify right side
    6,036.50x = 49,728,495.21
  5. Step 5: Solve for x
    x = 49,728,495.21/6,036.50
  6. Step 6: Final answer
    x = 8,237.97

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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.