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Finding the Fourth Proportional to 12,282.57, 16,949.96 and 7,246.85

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Solution

The fourth proportional to 12,282.57, 16,949.96 and 7,246.85 is: 10,000.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,282.57 : 16,949.96 = 7,246.85 : x
  2. Step 2: Convert to fraction form
    12,282.57/16,949.96 = 7,246.85/x
  3. Step 3: Cross multiply
    12,282.57x = 16,949.96 × 7,246.85
  4. Step 4: Simplify right side
    12,282.57x = 122,833,696.64
  5. Step 5: Solve for x
    x = 122,833,696.64/12,282.57
  6. Step 6: Final answer
    x = 10,000.65

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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.