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Finding the Fourth Proportional to 8,217, 11,361.06 and 7,849.80

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Solution

The fourth proportional to 8,217, 11,361.06 and 7,849.80 is: 10,853.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,217 : 11,361.06 = 7,849.80 : x
  2. Step 2: Convert to fraction form
    8,217/11,361.06 = 7,849.80/x
  3. Step 3: Cross multiply
    8,217x = 11,361.06 × 7,849.80
  4. Step 4: Simplify right side
    8,217x = 89,182,048.79
  5. Step 5: Solve for x
    x = 89,182,048.79/8,217
  6. Step 6: Final answer
    x = 10,853.36

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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.