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Finding the Fourth Proportional to 19,471, 29,227.30 and 8,383.18

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Solution

The fourth proportional to 19,471, 29,227.30 and 8,383.18 is: 12,583.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,471 : 29,227.30 = 8,383.18 : x
  2. Step 2: Convert to fraction form
    19,471/29,227.30 = 8,383.18/x
  3. Step 3: Cross multiply
    19,471x = 29,227.30 × 8,383.18
  4. Step 4: Simplify right side
    19,471x = 245,017,716.81
  5. Step 5: Solve for x
    x = 245,017,716.81/19,471
  6. Step 6: Final answer
    x = 12,583.73

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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.