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Finding the Fourth Proportional to 12,083.65, 16,674.35 and 7,366.99

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Solution

The fourth proportional to 12,083.65, 16,674.35 and 7,366.99 is: 10,165.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,083.65 : 16,674.35 = 7,366.99 : x
  2. Step 2: Convert to fraction form
    12,083.65/16,674.35 = 7,366.99/x
  3. Step 3: Cross multiply
    12,083.65x = 16,674.35 × 7,366.99
  4. Step 4: Simplify right side
    12,083.65x = 122,839,732.87
  5. Step 5: Solve for x
    x = 122,839,732.87/12,083.65
  6. Step 6: Final answer
    x = 10,165.78

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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.