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Finding the Fourth Proportional to 11,937.71, 17,906.92 and 5,698.38

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Solution

The fourth proportional to 11,937.71, 17,906.92 and 5,698.38 is: 8,547.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,937.71 : 17,906.92 = 5,698.38 : x
  2. Step 2: Convert to fraction form
    11,937.71/17,906.92 = 5,698.38/x
  3. Step 3: Cross multiply
    11,937.71x = 17,906.92 × 5,698.38
  4. Step 4: Simplify right side
    11,937.71x = 102,040,434.79
  5. Step 5: Solve for x
    x = 102,040,434.79/11,937.71
  6. Step 6: Final answer
    x = 8,547.74

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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.