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Finding the Fourth Proportional to 9,653.67, 13,321.26 and 8,948.43

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Solution

The fourth proportional to 9,653.67, 13,321.26 and 8,948.43 is: 12,348.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,653.67 : 13,321.26 = 8,948.43 : x
  2. Step 2: Convert to fraction form
    9,653.67/13,321.26 = 8,948.43/x
  3. Step 3: Cross multiply
    9,653.67x = 13,321.26 × 8,948.43
  4. Step 4: Simplify right side
    9,653.67x = 119,204,362.62
  5. Step 5: Solve for x
    x = 119,204,362.62/9,653.67
  6. Step 6: Final answer
    x = 12,348.09

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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.