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Finding the Fourth Proportional to 8,714.44, 13,136.02 and 8,206.41

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Solution

The fourth proportional to 8,714.44, 13,136.02 and 8,206.41 is: 12,370.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,714.44 : 13,136.02 = 8,206.41 : x
  2. Step 2: Convert to fraction form
    8,714.44/13,136.02 = 8,206.41/x
  3. Step 3: Cross multiply
    8,714.44x = 13,136.02 × 8,206.41
  4. Step 4: Simplify right side
    8,714.44x = 107,799,640.79
  5. Step 5: Solve for x
    x = 107,799,640.79/8,714.44
  6. Step 6: Final answer
    x = 12,370.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.