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Finding the Fourth Proportional to 11,859.52, 17,772 and 8,098.24

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Solution

The fourth proportional to 11,859.52, 17,772 and 8,098.24 is: 12,135.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,859.52 : 17,772 = 8,098.24 : x
  2. Step 2: Convert to fraction form
    11,859.52/17,772 = 8,098.24/x
  3. Step 3: Cross multiply
    11,859.52x = 17,772 × 8,098.24
  4. Step 4: Simplify right side
    11,859.52x = 143,921,921.28
  5. Step 5: Solve for x
    x = 143,921,921.28/11,859.52
  6. Step 6: Final answer
    x = 12,135.56

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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.