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Finding the Fourth Proportional to 12,546.91, 17,314.91 and 6,882.20

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Solution

The fourth proportional to 12,546.91, 17,314.91 and 6,882.20 is: 9,497.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,546.91 : 17,314.91 = 6,882.20 : x
  2. Step 2: Convert to fraction form
    12,546.91/17,314.91 = 6,882.20/x
  3. Step 3: Cross multiply
    12,546.91x = 17,314.91 × 6,882.20
  4. Step 4: Simplify right side
    12,546.91x = 119,164,673.60
  5. Step 5: Solve for x
    x = 119,164,673.60/12,546.91
  6. Step 6: Final answer
    x = 9,497.53

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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.