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Finding the Fourth Proportional to 16,394.67, 22,625.69 and 9,678.47

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Solution

The fourth proportional to 16,394.67, 22,625.69 and 9,678.47 is: 13,356.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,394.67 : 22,625.69 = 9,678.47 : x
  2. Step 2: Convert to fraction form
    16,394.67/22,625.69 = 9,678.47/x
  3. Step 3: Cross multiply
    16,394.67x = 22,625.69 × 9,678.47
  4. Step 4: Simplify right side
    16,394.67x = 218,981,900.37
  5. Step 5: Solve for x
    x = 218,981,900.37/16,394.67
  6. Step 6: Final answer
    x = 13,356.90

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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.