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Finding the Fourth Proportional to 11,596.54, 17,396.19 and 3,696.32

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Solution

The fourth proportional to 11,596.54, 17,396.19 and 3,696.32 is: 5,544.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,596.54 : 17,396.19 = 3,696.32 : x
  2. Step 2: Convert to fraction form
    11,596.54/17,396.19 = 3,696.32/x
  3. Step 3: Cross multiply
    11,596.54x = 17,396.19 × 3,696.32
  4. Step 4: Simplify right side
    11,596.54x = 64,301,798.04
  5. Step 5: Solve for x
    x = 64,301,798.04/11,596.54
  6. Step 6: Final answer
    x = 5,544.91

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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.