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Finding the Fourth Proportional to 9,105.71, 13,660.00 and 3,184.23

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Solution

The fourth proportional to 9,105.71, 13,660.00 and 3,184.23 is: 4,776.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,105.71 : 13,660.00 = 3,184.23 : x
  2. Step 2: Convert to fraction form
    9,105.71/13,660.00 = 3,184.23/x
  3. Step 3: Cross multiply
    9,105.71x = 13,660.00 × 3,184.23
  4. Step 4: Simplify right side
    9,105.71x = 43,496,625.06
  5. Step 5: Solve for x
    x = 43,496,625.06/9,105.71
  6. Step 6: Final answer
    x = 4,776.85

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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.