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Finding the Fourth Proportional to 11,804.72, 17,707.11 and 5,229.14

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Solution

The fourth proportional to 11,804.72, 17,707.11 and 5,229.14 is: 7,843.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,804.72 : 17,707.11 = 5,229.14 : x
  2. Step 2: Convert to fraction form
    11,804.72/17,707.11 = 5,229.14/x
  3. Step 3: Cross multiply
    11,804.72x = 17,707.11 × 5,229.14
  4. Step 4: Simplify right side
    11,804.72x = 92,592,957.19
  5. Step 5: Solve for x
    x = 92,592,957.19/11,804.72
  6. Step 6: Final answer
    x = 7,843.72

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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.