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Finding the Fourth Proportional to 12,305.40, 18,455.70 and 3,983.40

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Solution

The fourth proportional to 12,305.40, 18,455.70 and 3,983.40 is: 5,974.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,305.40 : 18,455.70 = 3,983.40 : x
  2. Step 2: Convert to fraction form
    12,305.40/18,455.70 = 3,983.40/x
  3. Step 3: Cross multiply
    12,305.40x = 18,455.70 × 3,983.40
  4. Step 4: Simplify right side
    12,305.40x = 73,516,435.38
  5. Step 5: Solve for x
    x = 73,516,435.38/12,305.40
  6. Step 6: Final answer
    x = 5,974.32

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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.