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Finding the Fourth Proportional to 7,786.92, 10,753.08 and 5,674.64

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Solution

The fourth proportional to 7,786.92, 10,753.08 and 5,674.64 is: 7,836.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,786.92 : 10,753.08 = 5,674.64 : x
  2. Step 2: Convert to fraction form
    7,786.92/10,753.08 = 5,674.64/x
  3. Step 3: Cross multiply
    7,786.92x = 10,753.08 × 5,674.64
  4. Step 4: Simplify right side
    7,786.92x = 61,019,857.89
  5. Step 5: Solve for x
    x = 61,019,857.89/7,786.92
  6. Step 6: Final answer
    x = 7,836.20

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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.