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Finding the Fourth Proportional to 10,646.84, 14,689.39 and 6,169.73

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Solution

The fourth proportional to 10,646.84, 14,689.39 and 6,169.73 is: 8,512.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,646.84 : 14,689.39 = 6,169.73 : x
  2. Step 2: Convert to fraction form
    10,646.84/14,689.39 = 6,169.73/x
  3. Step 3: Cross multiply
    10,646.84x = 14,689.39 × 6,169.73
  4. Step 4: Simplify right side
    10,646.84x = 90,629,570.16
  5. Step 5: Solve for x
    x = 90,629,570.16/10,646.84
  6. Step 6: Final answer
    x = 8,512.34

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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.