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Finding the Fourth Proportional to 11,596.26, 17,390.74 and 3,803.26

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Solution

The fourth proportional to 11,596.26, 17,390.74 and 3,803.26 is: 5,703.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,596.26 : 17,390.74 = 3,803.26 : x
  2. Step 2: Convert to fraction form
    11,596.26/17,390.74 = 3,803.26/x
  3. Step 3: Cross multiply
    11,596.26x = 17,390.74 × 3,803.26
  4. Step 4: Simplify right side
    11,596.26x = 66,141,505.81
  5. Step 5: Solve for x
    x = 66,141,505.81/11,596.26
  6. Step 6: Final answer
    x = 5,703.69

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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.