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Finding the Fourth Proportional to 10,963.62, 16,433.69 and 7,834.13

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Solution

The fourth proportional to 10,963.62, 16,433.69 and 7,834.13 is: 11,742.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,963.62 : 16,433.69 = 7,834.13 : x
  2. Step 2: Convert to fraction form
    10,963.62/16,433.69 = 7,834.13/x
  3. Step 3: Cross multiply
    10,963.62x = 16,433.69 × 7,834.13
  4. Step 4: Simplify right side
    10,963.62x = 128,743,696.57
  5. Step 5: Solve for x
    x = 128,743,696.57/10,963.62
  6. Step 6: Final answer
    x = 11,742.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.