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Finding the Fourth Proportional to 8,713.78, 13,045.82 and 5,786.26

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Solution

The fourth proportional to 8,713.78, 13,045.82 and 5,786.26 is: 8,662.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,713.78 : 13,045.82 = 5,786.26 : x
  2. Step 2: Convert to fraction form
    8,713.78/13,045.82 = 5,786.26/x
  3. Step 3: Cross multiply
    8,713.78x = 13,045.82 × 5,786.26
  4. Step 4: Simplify right side
    8,713.78x = 75,486,506.43
  5. Step 5: Solve for x
    x = 75,486,506.43/8,713.78
  6. Step 6: Final answer
    x = 8,662.89

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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.