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Finding the Fourth Proportional to 11,184.57, 15,434.89 and 6,149

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Solution

The fourth proportional to 11,184.57, 15,434.89 and 6,149 is: 8,485.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,184.57 : 15,434.89 = 6,149 : x
  2. Step 2: Convert to fraction form
    11,184.57/15,434.89 = 6,149/x
  3. Step 3: Cross multiply
    11,184.57x = 15,434.89 × 6,149
  4. Step 4: Simplify right side
    11,184.57x = 94,909,138.61
  5. Step 5: Solve for x
    x = 94,909,138.61/11,184.57
  6. Step 6: Final answer
    x = 8,485.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.