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Finding the Fourth Proportional to 6,047.04, 9,072.04 and 2,349.52

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Solution

The fourth proportional to 6,047.04, 9,072.04 and 2,349.52 is: 3,524.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,047.04 : 9,072.04 = 2,349.52 : x
  2. Step 2: Convert to fraction form
    6,047.04/9,072.04 = 2,349.52/x
  3. Step 3: Cross multiply
    6,047.04x = 9,072.04 × 2,349.52
  4. Step 4: Simplify right side
    6,047.04x = 21,314,939.42
  5. Step 5: Solve for x
    x = 21,314,939.42/6,047.04
  6. Step 6: Final answer
    x = 3,524.86

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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.