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Finding the Fourth Proportional to 8,489.93, 12,718.41 and 4,209.56

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Solution

The fourth proportional to 8,489.93, 12,718.41 and 4,209.56 is: 6,306.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,489.93 : 12,718.41 = 4,209.56 : x
  2. Step 2: Convert to fraction form
    8,489.93/12,718.41 = 4,209.56/x
  3. Step 3: Cross multiply
    8,489.93x = 12,718.41 × 4,209.56
  4. Step 4: Simplify right side
    8,489.93x = 53,538,846.41
  5. Step 5: Solve for x
    x = 53,538,846.41/8,489.93
  6. Step 6: Final answer
    x = 6,306.16

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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.