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Finding the Fourth Proportional to 11,588.75, 15,992.31 and 6,283.45

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Solution

The fourth proportional to 11,588.75, 15,992.31 and 6,283.45 is: 8,671.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,588.75 : 15,992.31 = 6,283.45 : x
  2. Step 2: Convert to fraction form
    11,588.75/15,992.31 = 6,283.45/x
  3. Step 3: Cross multiply
    11,588.75x = 15,992.31 × 6,283.45
  4. Step 4: Simplify right side
    11,588.75x = 100,486,863.85
  5. Step 5: Solve for x
    x = 100,486,863.85/11,588.75
  6. Step 6: Final answer
    x = 8,671.07

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1.5x scale

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.