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Finding the Fourth Proportional to 11,866.32, 17,799.14 and 3,101.24

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Solution

The fourth proportional to 11,866.32, 17,799.14 and 3,101.24 is: 4,651.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,866.32 : 17,799.14 = 3,101.24 : x
  2. Step 2: Convert to fraction form
    11,866.32/17,799.14 = 3,101.24/x
  3. Step 3: Cross multiply
    11,866.32x = 17,799.14 × 3,101.24
  4. Step 4: Simplify right side
    11,866.32x = 55,199,404.93
  5. Step 5: Solve for x
    x = 55,199,404.93/11,866.32
  6. Step 6: Final answer
    x = 4,651.77

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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.