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Finding the Fourth Proportional to 6,934.48, 9,571.97 and 4,282.13

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Solution

The fourth proportional to 6,934.48, 9,571.97 and 4,282.13 is: 5,910.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,934.48 : 9,571.97 = 4,282.13 : x
  2. Step 2: Convert to fraction form
    6,934.48/9,571.97 = 4,282.13/x
  3. Step 3: Cross multiply
    6,934.48x = 9,571.97 × 4,282.13
  4. Step 4: Simplify right side
    6,934.48x = 40,988,454.53
  5. Step 5: Solve for x
    x = 40,988,454.53/6,934.48
  6. Step 6: Final answer
    x = 5,910.82

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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.