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Finding the Fourth Proportional to 8,609.14, 12,913.86 and 2,369.12

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Solution

The fourth proportional to 8,609.14, 12,913.86 and 2,369.12 is: 3,553.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,609.14 : 12,913.86 = 2,369.12 : x
  2. Step 2: Convert to fraction form
    8,609.14/12,913.86 = 2,369.12/x
  3. Step 3: Cross multiply
    8,609.14x = 12,913.86 × 2,369.12
  4. Step 4: Simplify right side
    8,609.14x = 30,594,428.32
  5. Step 5: Solve for x
    x = 30,594,428.32/8,609.14
  6. Step 6: Final answer
    x = 3,553.72

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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.