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Finding the Fourth Proportional to 15,786.81, 21,785.78 and 8,713.22

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Solution

The fourth proportional to 15,786.81, 21,785.78 and 8,713.22 is: 12,024.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,786.81 : 21,785.78 = 8,713.22 : x
  2. Step 2: Convert to fraction form
    15,786.81/21,785.78 = 8,713.22/x
  3. Step 3: Cross multiply
    15,786.81x = 21,785.78 × 8,713.22
  4. Step 4: Simplify right side
    15,786.81x = 189,824,141.52
  5. Step 5: Solve for x
    x = 189,824,141.52/15,786.81
  6. Step 6: Final answer
    x = 12,024.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.