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Finding the Fourth Proportional to 11,537.64, 15,922.32 and 7,063.44

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Solution

The fourth proportional to 11,537.64, 15,922.32 and 7,063.44 is: 9,747.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,537.64 : 15,922.32 = 7,063.44 : x
  2. Step 2: Convert to fraction form
    11,537.64/15,922.32 = 7,063.44/x
  3. Step 3: Cross multiply
    11,537.64x = 15,922.32 × 7,063.44
  4. Step 4: Simplify right side
    11,537.64x = 112,466,351.98
  5. Step 5: Solve for x
    x = 112,466,351.98/11,537.64
  6. Step 6: Final answer
    x = 9,747.78

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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.