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Finding the Fourth Proportional to 10,684.18, 14,741.82 and 6,205.61

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Solution

The fourth proportional to 10,684.18, 14,741.82 and 6,205.61 is: 8,562.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,684.18 : 14,741.82 = 6,205.61 : x
  2. Step 2: Convert to fraction form
    10,684.18/14,741.82 = 6,205.61/x
  3. Step 3: Cross multiply
    10,684.18x = 14,741.82 × 6,205.61
  4. Step 4: Simplify right side
    10,684.18x = 91,482,039.92
  5. Step 5: Solve for x
    x = 91,482,039.92/10,684.18
  6. Step 6: Final answer
    x = 8,562.38

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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.