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Finding the Fourth Proportional to 6,308.91, 9,463.86 and 1,926.41

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Solution

The fourth proportional to 6,308.91, 9,463.86 and 1,926.41 is: 2,889.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,308.91 : 9,463.86 = 1,926.41 : x
  2. Step 2: Convert to fraction form
    6,308.91/9,463.86 = 1,926.41/x
  3. Step 3: Cross multiply
    6,308.91x = 9,463.86 × 1,926.41
  4. Step 4: Simplify right side
    6,308.91x = 18,231,227.22
  5. Step 5: Solve for x
    x = 18,231,227.22/6,308.91
  6. Step 6: Final answer
    x = 2,889.76

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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.