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Finding the Fourth Proportional to 6,843.04, 9,442.92 and 4,048

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Solution

The fourth proportional to 6,843.04, 9,442.92 and 4,048 is: 5,585.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,843.04 : 9,442.92 = 4,048 : x
  2. Step 2: Convert to fraction form
    6,843.04/9,442.92 = 4,048/x
  3. Step 3: Cross multiply
    6,843.04x = 9,442.92 × 4,048
  4. Step 4: Simplify right side
    6,843.04x = 38,224,940.16
  5. Step 5: Solve for x
    x = 38,224,940.16/6,843.04
  6. Step 6: Final answer
    x = 5,585.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.