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Finding the Fourth Proportional to 6,678, 10,012.38 and 4,805.04

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Solution

The fourth proportional to 6,678, 10,012.38 and 4,805.04 is: 7,204.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,678 : 10,012.38 = 4,805.04 : x
  2. Step 2: Convert to fraction form
    6,678/10,012.38 = 4,805.04/x
  3. Step 3: Cross multiply
    6,678x = 10,012.38 × 4,805.04
  4. Step 4: Simplify right side
    6,678x = 48,109,886.40
  5. Step 5: Solve for x
    x = 48,109,886.40/6,678
  6. Step 6: Final answer
    x = 7,204.24

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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.