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Finding the Fourth Proportional to 7,648.97, 11,472.08 and 2,026.68

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Solution

The fourth proportional to 7,648.97, 11,472.08 and 2,026.68 is: 3,039.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,648.97 : 11,472.08 = 2,026.68 : x
  2. Step 2: Convert to fraction form
    7,648.97/11,472.08 = 2,026.68/x
  3. Step 3: Cross multiply
    7,648.97x = 11,472.08 × 2,026.68
  4. Step 4: Simplify right side
    7,648.97x = 23,250,177.73
  5. Step 5: Solve for x
    x = 23,250,177.73/7,648.97
  6. Step 6: Final answer
    x = 3,039.65

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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.