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Finding the Fourth Proportional to 4,628.65, 6,926.82 and 3,785.97

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Solution

The fourth proportional to 4,628.65, 6,926.82 and 3,785.97 is: 5,665.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,628.65 : 6,926.82 = 3,785.97 : x
  2. Step 2: Convert to fraction form
    4,628.65/6,926.82 = 3,785.97/x
  3. Step 3: Cross multiply
    4,628.65x = 6,926.82 × 3,785.97
  4. Step 4: Simplify right side
    4,628.65x = 26,224,732.72
  5. Step 5: Solve for x
    x = 26,224,732.72/4,628.65
  6. Step 6: Final answer
    x = 5,665.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.