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Finding the Fourth Proportional to 12,251.87, 16,907.07 and 6,946.58

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Solution

The fourth proportional to 12,251.87, 16,907.07 and 6,946.58 is: 9,585.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,251.87 : 16,907.07 = 6,946.58 : x
  2. Step 2: Convert to fraction form
    12,251.87/16,907.07 = 6,946.58/x
  3. Step 3: Cross multiply
    12,251.87x = 16,907.07 × 6,946.58
  4. Step 4: Simplify right side
    12,251.87x = 117,446,229.79
  5. Step 5: Solve for x
    x = 117,446,229.79/12,251.87
  6. Step 6: Final answer
    x = 9,585.99

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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.