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Finding the Fourth Proportional to 15,584.75, 23,383.98 and 8,187.50

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Solution

The fourth proportional to 15,584.75, 23,383.98 and 8,187.50 is: 12,284.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,584.75 : 23,383.98 = 8,187.50 : x
  2. Step 2: Convert to fraction form
    15,584.75/23,383.98 = 8,187.50/x
  3. Step 3: Cross multiply
    15,584.75x = 23,383.98 × 8,187.50
  4. Step 4: Simplify right side
    15,584.75x = 191,456,336.25
  5. Step 5: Solve for x
    x = 191,456,336.25/15,584.75
  6. Step 6: Final answer
    x = 12,284.85

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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.