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Finding the Fourth Proportional to 10,625.84, 14,663.92 and 6,150

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Solution

The fourth proportional to 10,625.84, 14,663.92 and 6,150 is: 8,487.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,625.84 : 14,663.92 = 6,150 : x
  2. Step 2: Convert to fraction form
    10,625.84/14,663.92 = 6,150/x
  3. Step 3: Cross multiply
    10,625.84x = 14,663.92 × 6,150
  4. Step 4: Simplify right side
    10,625.84x = 90,183,108
  5. Step 5: Solve for x
    x = 90,183,108/10,625.84
  6. Step 6: Final answer
    x = 8,487.15

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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.