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Finding the Fourth Proportional to 12,143.87, 16,758.86 and 6,838.87

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Solution

The fourth proportional to 12,143.87, 16,758.86 and 6,838.87 is: 9,437.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,143.87 : 16,758.86 = 6,838.87 : x
  2. Step 2: Convert to fraction form
    12,143.87/16,758.86 = 6,838.87/x
  3. Step 3: Cross multiply
    12,143.87x = 16,758.86 × 6,838.87
  4. Step 4: Simplify right side
    12,143.87x = 114,611,546.90
  5. Step 5: Solve for x
    x = 114,611,546.90/12,143.87
  6. Step 6: Final answer
    x = 9,437.81

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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.