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Finding the Fourth Proportional to 7,797.97, 10,768.02 and 5,685.49

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Solution

The fourth proportional to 7,797.97, 10,768.02 and 5,685.49 is: 7,850.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,797.97 : 10,768.02 = 5,685.49 : x
  2. Step 2: Convert to fraction form
    7,797.97/10,768.02 = 5,685.49/x
  3. Step 3: Cross multiply
    7,797.97x = 10,768.02 × 5,685.49
  4. Step 4: Simplify right side
    7,797.97x = 61,221,416.19
  5. Step 5: Solve for x
    x = 61,221,416.19/7,797.97
  6. Step 6: Final answer
    x = 7,850.95

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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.