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Finding the Fourth Proportional to 8,164.77, 12,246.49 and 2,616.62

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Solution

The fourth proportional to 8,164.77, 12,246.49 and 2,616.62 is: 3,924.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,164.77 : 12,246.49 = 2,616.62 : x
  2. Step 2: Convert to fraction form
    8,164.77/12,246.49 = 2,616.62/x
  3. Step 3: Cross multiply
    8,164.77x = 12,246.49 × 2,616.62
  4. Step 4: Simplify right side
    8,164.77x = 32,044,421.59
  5. Step 5: Solve for x
    x = 32,044,421.59/8,164.77
  6. Step 6: Final answer
    x = 3,924.72

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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.