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Finding the Fourth Proportional to 11,684.96, 17,527.12 and 3,893.92

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Solution

The fourth proportional to 11,684.96, 17,527.12 and 3,893.92 is: 5,840.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,684.96 : 17,527.12 = 3,893.92 : x
  2. Step 2: Convert to fraction form
    11,684.96/17,527.12 = 3,893.92/x
  3. Step 3: Cross multiply
    11,684.96x = 17,527.12 × 3,893.92
  4. Step 4: Simplify right side
    11,684.96x = 68,249,203.11
  5. Step 5: Solve for x
    x = 68,249,203.11/11,684.96
  6. Step 6: Final answer
    x = 5,840.77

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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.