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Finding the Fourth Proportional to 11,503.43, 15,874.46 and 7,524.45

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Solution

The fourth proportional to 11,503.43, 15,874.46 and 7,524.45 is: 10,383.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,503.43 : 15,874.46 = 7,524.45 : x
  2. Step 2: Convert to fraction form
    11,503.43/15,874.46 = 7,524.45/x
  3. Step 3: Cross multiply
    11,503.43x = 15,874.46 × 7,524.45
  4. Step 4: Simplify right side
    11,503.43x = 119,446,542.92
  5. Step 5: Solve for x
    x = 119,446,542.92/11,503.43
  6. Step 6: Final answer
    x = 10,383.56

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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.