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Finding the Fourth Proportional to 8,684.64, 13,014 and 3,487.68

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Solution

The fourth proportional to 8,684.64, 13,014 and 3,487.68 is: 5,226.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,684.64 : 13,014 = 3,487.68 : x
  2. Step 2: Convert to fraction form
    8,684.64/13,014 = 3,487.68/x
  3. Step 3: Cross multiply
    8,684.64x = 13,014 × 3,487.68
  4. Step 4: Simplify right side
    8,684.64x = 45,388,667.52
  5. Step 5: Solve for x
    x = 45,388,667.52/8,684.64
  6. Step 6: Final answer
    x = 5,226.32

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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.