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Finding the Fourth Proportional to 11,238.70, 15,512.50 and 6,524.50

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Solution

The fourth proportional to 11,238.70, 15,512.50 and 6,524.50 is: 9,005.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,238.70 : 15,512.50 = 6,524.50 : x
  2. Step 2: Convert to fraction form
    11,238.70/15,512.50 = 6,524.50/x
  3. Step 3: Cross multiply
    11,238.70x = 15,512.50 × 6,524.50
  4. Step 4: Simplify right side
    11,238.70x = 101,211,306.25
  5. Step 5: Solve for x
    x = 101,211,306.25/11,238.70
  6. Step 6: Final answer
    x = 9,005.61

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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.