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Finding the Fourth Proportional to 11,750.82, 17,616.98 and 5,823.63

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Solution

The fourth proportional to 11,750.82, 17,616.98 and 5,823.63 is: 8,730.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,750.82 : 17,616.98 = 5,823.63 : x
  2. Step 2: Convert to fraction form
    11,750.82/17,616.98 = 5,823.63/x
  3. Step 3: Cross multiply
    11,750.82x = 17,616.98 × 5,823.63
  4. Step 4: Simplify right side
    11,750.82x = 102,594,787.80
  5. Step 5: Solve for x
    x = 102,594,787.80/11,750.82
  6. Step 6: Final answer
    x = 8,730.86

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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.