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Finding the Fourth Proportional to 11,414.73, 15,746.88 and 7,163.67

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Solution

The fourth proportional to 11,414.73, 15,746.88 and 7,163.67 is: 9,882.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,414.73 : 15,746.88 = 7,163.67 : x
  2. Step 2: Convert to fraction form
    11,414.73/15,746.88 = 7,163.67/x
  3. Step 3: Cross multiply
    11,414.73x = 15,746.88 × 7,163.67
  4. Step 4: Simplify right side
    11,414.73x = 112,805,451.85
  5. Step 5: Solve for x
    x = 112,805,451.85/11,414.73
  6. Step 6: Final answer
    x = 9,882.45

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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.