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Finding the Fourth Proportional to 6,857.84, 9,479.76 and 6,119.12

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Solution

The fourth proportional to 6,857.84, 9,479.76 and 6,119.12 is: 8,458.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,857.84 : 9,479.76 = 6,119.12 : x
  2. Step 2: Convert to fraction form
    6,857.84/9,479.76 = 6,119.12/x
  3. Step 3: Cross multiply
    6,857.84x = 9,479.76 × 6,119.12
  4. Step 4: Simplify right side
    6,857.84x = 58,007,789.01
  5. Step 5: Solve for x
    x = 58,007,789.01/6,857.84
  6. Step 6: Final answer
    x = 8,458.61

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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.