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Finding the Fourth Proportional to 13,147.92, 18,144 and 7,179.48

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Solution

The fourth proportional to 13,147.92, 18,144 and 7,179.48 is: 9,907.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,147.92 : 18,144 = 7,179.48 : x
  2. Step 2: Convert to fraction form
    13,147.92/18,144 = 7,179.48/x
  3. Step 3: Cross multiply
    13,147.92x = 18,144 × 7,179.48
  4. Step 4: Simplify right side
    13,147.92x = 130,264,485.12
  5. Step 5: Solve for x
    x = 130,264,485.12/13,147.92
  6. Step 6: Final answer
    x = 9,907.61

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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.