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Finding the Fourth Proportional to 17,099.07, 25,641.06 and 7,738.71

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Solution

The fourth proportional to 17,099.07, 25,641.06 and 7,738.71 is: 11,604.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,099.07 : 25,641.06 = 7,738.71 : x
  2. Step 2: Convert to fraction form
    17,099.07/25,641.06 = 7,738.71/x
  3. Step 3: Cross multiply
    17,099.07x = 25,641.06 × 7,738.71
  4. Step 4: Simplify right side
    17,099.07x = 198,428,727.43
  5. Step 5: Solve for x
    x = 198,428,727.43/17,099.07
  6. Step 6: Final answer
    x = 11,604.65

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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.