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Finding the Fourth Proportional to 15,170.14, 20,934.71 and 8,456.06

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Solution

The fourth proportional to 15,170.14, 20,934.71 and 8,456.06 is: 11,669.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,170.14 : 20,934.71 = 8,456.06 : x
  2. Step 2: Convert to fraction form
    15,170.14/20,934.71 = 8,456.06/x
  3. Step 3: Cross multiply
    15,170.14x = 20,934.71 × 8,456.06
  4. Step 4: Simplify right side
    15,170.14x = 177,025,163.84
  5. Step 5: Solve for x
    x = 177,025,163.84/15,170.14
  6. Step 6: Final answer
    x = 11,669.32

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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.