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Finding the Fourth Proportional to 10,696.25, 14,770.28 and 6,669.95

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Solution

The fourth proportional to 10,696.25, 14,770.28 and 6,669.95 is: 9,210.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,696.25 : 14,770.28 = 6,669.95 : x
  2. Step 2: Convert to fraction form
    10,696.25/14,770.28 = 6,669.95/x
  3. Step 3: Cross multiply
    10,696.25x = 14,770.28 × 6,669.95
  4. Step 4: Simplify right side
    10,696.25x = 98,517,029.09
  5. Step 5: Solve for x
    x = 98,517,029.09/10,696.25
  6. Step 6: Final answer
    x = 9,210.43

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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.