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Finding the Fourth Proportional to 8,257.77, 12,369.13 and 6,494.40

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Solution

The fourth proportional to 8,257.77, 12,369.13 and 6,494.40 is: 9,727.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,257.77 : 12,369.13 = 6,494.40 : x
  2. Step 2: Convert to fraction form
    8,257.77/12,369.13 = 6,494.40/x
  3. Step 3: Cross multiply
    8,257.77x = 12,369.13 × 6,494.40
  4. Step 4: Simplify right side
    8,257.77x = 80,330,077.87
  5. Step 5: Solve for x
    x = 80,330,077.87/8,257.77
  6. Step 6: Final answer
    x = 9,727.82

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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.