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Finding the Fourth Proportional to 10,716.68, 14,787.25 and 6,734.97

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Solution

The fourth proportional to 10,716.68, 14,787.25 and 6,734.97 is: 9,293.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,716.68 : 14,787.25 = 6,734.97 : x
  2. Step 2: Convert to fraction form
    10,716.68/14,787.25 = 6,734.97/x
  3. Step 3: Cross multiply
    10,716.68x = 14,787.25 × 6,734.97
  4. Step 4: Simplify right side
    10,716.68x = 99,591,685.13
  5. Step 5: Solve for x
    x = 99,591,685.13/10,716.68
  6. Step 6: Final answer
    x = 9,293.15

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1.5x scale

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.