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Finding the Fourth Proportional to 11,578.57, 15,961.69 and 7,592.77

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Solution

The fourth proportional to 11,578.57, 15,961.69 and 7,592.77 is: 10,467.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,578.57 : 15,961.69 = 7,592.77 : x
  2. Step 2: Convert to fraction form
    11,578.57/15,961.69 = 7,592.77/x
  3. Step 3: Cross multiply
    11,578.57x = 15,961.69 × 7,592.77
  4. Step 4: Simplify right side
    11,578.57x = 121,193,440.98
  5. Step 5: Solve for x
    x = 121,193,440.98/11,578.57
  6. Step 6: Final answer
    x = 10,467.05

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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.