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Finding the Fourth Proportional to 12,473.81, 18,706.83 and 4,151.88

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Solution

The fourth proportional to 12,473.81, 18,706.83 and 4,151.88 is: 6,226.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,473.81 : 18,706.83 = 4,151.88 : x
  2. Step 2: Convert to fraction form
    12,473.81/18,706.83 = 4,151.88/x
  3. Step 3: Cross multiply
    12,473.81x = 18,706.83 × 4,151.88
  4. Step 4: Simplify right side
    12,473.81x = 77,668,553.49
  5. Step 5: Solve for x
    x = 77,668,553.49/12,473.81
  6. Step 6: Final answer
    x = 6,226.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.