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Finding the Fourth Proportional to 9,863.66, 14,786.69 and 3,622.24

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Solution

The fourth proportional to 9,863.66, 14,786.69 and 3,622.24 is: 5,430.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,863.66 : 14,786.69 = 3,622.24 : x
  2. Step 2: Convert to fraction form
    9,863.66/14,786.69 = 3,622.24/x
  3. Step 3: Cross multiply
    9,863.66x = 14,786.69 × 3,622.24
  4. Step 4: Simplify right side
    9,863.66x = 53,560,939.99
  5. Step 5: Solve for x
    x = 53,560,939.99/9,863.66
  6. Step 6: Final answer
    x = 5,430.13

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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.