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Finding the Fourth Proportional to 11,488.22, 17,236.61 and 7,824.99

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Solution

The fourth proportional to 11,488.22, 17,236.61 and 7,824.99 is: 11,740.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,488.22 : 17,236.61 = 7,824.99 : x
  2. Step 2: Convert to fraction form
    11,488.22/17,236.61 = 7,824.99/x
  3. Step 3: Cross multiply
    11,488.22x = 17,236.61 × 7,824.99
  4. Step 4: Simplify right side
    11,488.22x = 134,876,261.76
  5. Step 5: Solve for x
    x = 134,876,261.76/11,488.22
  6. Step 6: Final answer
    x = 11,740.40

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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.