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Finding the Fourth Proportional to 13,321.80, 19,983.06 and 6,305.13

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Solution

The fourth proportional to 13,321.80, 19,983.06 and 6,305.13 is: 9,457.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,321.80 : 19,983.06 = 6,305.13 : x
  2. Step 2: Convert to fraction form
    13,321.80/19,983.06 = 6,305.13/x
  3. Step 3: Cross multiply
    13,321.80x = 19,983.06 × 6,305.13
  4. Step 4: Simplify right side
    13,321.80x = 125,995,791.10
  5. Step 5: Solve for x
    x = 125,995,791.10/13,321.80
  6. Step 6: Final answer
    x = 9,457.87

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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.