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Finding the Fourth Proportional to 12,267, 16,930.67 and 7,230.92

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Solution

The fourth proportional to 12,267, 16,930.67 and 7,230.92 is: 9,979.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,267 : 16,930.67 = 7,230.92 : x
  2. Step 2: Convert to fraction form
    12,267/16,930.67 = 7,230.92/x
  3. Step 3: Cross multiply
    12,267x = 16,930.67 × 7,230.92
  4. Step 4: Simplify right side
    12,267x = 122,424,199.51
  5. Step 5: Solve for x
    x = 122,424,199.51/12,267
  6. Step 6: Final answer
    x = 9,979.96

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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.