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Finding the Fourth Proportional to 11,504.62, 15,879 and 8,143.93

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Solution

The fourth proportional to 11,504.62, 15,879 and 8,143.93 is: 11,240.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,504.62 : 15,879 = 8,143.93 : x
  2. Step 2: Convert to fraction form
    11,504.62/15,879 = 8,143.93/x
  3. Step 3: Cross multiply
    11,504.62x = 15,879 × 8,143.93
  4. Step 4: Simplify right side
    11,504.62x = 129,317,464.47
  5. Step 5: Solve for x
    x = 129,317,464.47/11,504.62
  6. Step 6: Final answer
    x = 11,240.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.