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Finding the Fourth Proportional to 9,936.35, 13,717.49 and 7,662.71

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Solution

The fourth proportional to 9,936.35, 13,717.49 and 7,662.71 is: 10,578.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,936.35 : 13,717.49 = 7,662.71 : x
  2. Step 2: Convert to fraction form
    9,936.35/13,717.49 = 7,662.71/x
  3. Step 3: Cross multiply
    9,936.35x = 13,717.49 × 7,662.71
  4. Step 4: Simplify right side
    9,936.35x = 105,113,195.40
  5. Step 5: Solve for x
    x = 105,113,195.40/9,936.35
  6. Step 6: Final answer
    x = 10,578.66

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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.