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Finding the Fourth Proportional to 12,167.16, 18,247.95 and 3,402.96

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Solution

The fourth proportional to 12,167.16, 18,247.95 and 3,402.96 is: 5,103.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,167.16 : 18,247.95 = 3,402.96 : x
  2. Step 2: Convert to fraction form
    12,167.16/18,247.95 = 3,402.96/x
  3. Step 3: Cross multiply
    12,167.16x = 18,247.95 × 3,402.96
  4. Step 4: Simplify right side
    12,167.16x = 62,097,043.93
  5. Step 5: Solve for x
    x = 62,097,043.93/12,167.16
  6. Step 6: Final answer
    x = 5,103.66

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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.