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Finding the Fourth Proportional to 10,418.90, 14,374.21 and 6,641.20

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Solution

The fourth proportional to 10,418.90, 14,374.21 and 6,641.20 is: 9,162.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,418.90 : 14,374.21 = 6,641.20 : x
  2. Step 2: Convert to fraction form
    10,418.90/14,374.21 = 6,641.20/x
  3. Step 3: Cross multiply
    10,418.90x = 14,374.21 × 6,641.20
  4. Step 4: Simplify right side
    10,418.90x = 95,462,003.45
  5. Step 5: Solve for x
    x = 95,462,003.45/10,418.90
  6. Step 6: Final answer
    x = 9,162.39

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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.