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Finding the Fourth Proportional to 12,149.87, 16,767.41 and 6,845.11

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Solution

The fourth proportional to 12,149.87, 16,767.41 and 6,845.11 is: 9,446.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,149.87 : 16,767.41 = 6,845.11 : x
  2. Step 2: Convert to fraction form
    12,149.87/16,767.41 = 6,845.11/x
  3. Step 3: Cross multiply
    12,149.87x = 16,767.41 × 6,845.11
  4. Step 4: Simplify right side
    12,149.87x = 114,774,689.72
  5. Step 5: Solve for x
    x = 114,774,689.72/12,149.87
  6. Step 6: Final answer
    x = 9,446.58

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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.