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Finding the Fourth Proportional to 6,426.13, 9,648.07 and 4,446.90

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Solution

The fourth proportional to 6,426.13, 9,648.07 and 4,446.90 is: 6,676.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,426.13 : 9,648.07 = 4,446.90 : x
  2. Step 2: Convert to fraction form
    6,426.13/9,648.07 = 4,446.90/x
  3. Step 3: Cross multiply
    6,426.13x = 9,648.07 × 4,446.90
  4. Step 4: Simplify right side
    6,426.13x = 42,904,002.48
  5. Step 5: Solve for x
    x = 42,904,002.48/6,426.13
  6. Step 6: Final answer
    x = 6,676.49

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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.