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Finding the Fourth Proportional to 11,590.88, 17,384.68 and 3,799.76

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Solution

The fourth proportional to 11,590.88, 17,384.68 and 3,799.76 is: 5,699.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,590.88 : 17,384.68 = 3,799.76 : x
  2. Step 2: Convert to fraction form
    11,590.88/17,384.68 = 3,799.76/x
  3. Step 3: Cross multiply
    11,590.88x = 17,384.68 × 3,799.76
  4. Step 4: Simplify right side
    11,590.88x = 66,057,611.68
  5. Step 5: Solve for x
    x = 66,057,611.68/11,590.88
  6. Step 6: Final answer
    x = 5,699.10

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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.