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Finding the Fourth Proportional to 12,610.97, 17,402.88 and 6,945.42

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Solution

The fourth proportional to 12,610.97, 17,402.88 and 6,945.42 is: 9,584.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,610.97 : 17,402.88 = 6,945.42 : x
  2. Step 2: Convert to fraction form
    12,610.97/17,402.88 = 6,945.42/x
  3. Step 3: Cross multiply
    12,610.97x = 17,402.88 × 6,945.42
  4. Step 4: Simplify right side
    12,610.97x = 120,870,310.81
  5. Step 5: Solve for x
    x = 120,870,310.81/12,610.97
  6. Step 6: Final answer
    x = 9,584.54

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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.