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Finding the Fourth Proportional to 11,804.83, 17,707.32 and 4,409.22

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Solution

The fourth proportional to 11,804.83, 17,707.32 and 4,409.22 is: 6,613.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,804.83 : 17,707.32 = 4,409.22 : x
  2. Step 2: Convert to fraction form
    11,804.83/17,707.32 = 4,409.22/x
  3. Step 3: Cross multiply
    11,804.83x = 17,707.32 × 4,409.22
  4. Step 4: Simplify right side
    11,804.83x = 78,075,469.49
  5. Step 5: Solve for x
    x = 78,075,469.49/11,804.83
  6. Step 6: Final answer
    x = 6,613.86

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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.