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Finding the Fourth Proportional to 10,469.84, 14,452.17 and 6,934.19

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Solution

The fourth proportional to 10,469.84, 14,452.17 and 6,934.19 is: 9,571.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,469.84 : 14,452.17 = 6,934.19 : x
  2. Step 2: Convert to fraction form
    10,469.84/14,452.17 = 6,934.19/x
  3. Step 3: Cross multiply
    10,469.84x = 14,452.17 × 6,934.19
  4. Step 4: Simplify right side
    10,469.84x = 100,214,092.69
  5. Step 5: Solve for x
    x = 100,214,092.69/10,469.84
  6. Step 6: Final answer
    x = 9,571.69

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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.