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Finding the Fourth Proportional to 11,671.50, 17,498.61 and 6,124.62

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Solution

The fourth proportional to 11,671.50, 17,498.61 and 6,124.62 is: 9,182.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,671.50 : 17,498.61 = 6,124.62 : x
  2. Step 2: Convert to fraction form
    11,671.50/17,498.61 = 6,124.62/x
  3. Step 3: Cross multiply
    11,671.50x = 17,498.61 × 6,124.62
  4. Step 4: Simplify right side
    11,671.50x = 107,172,336.78
  5. Step 5: Solve for x
    x = 107,172,336.78/11,671.50
  6. Step 6: Final answer
    x = 9,182.40

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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.