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Finding the Fourth Proportional to 9,409.92, 12,986.12 and 5,218.16

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Solution

The fourth proportional to 9,409.92, 12,986.12 and 5,218.16 is: 7,201.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,409.92 : 12,986.12 = 5,218.16 : x
  2. Step 2: Convert to fraction form
    9,409.92/12,986.12 = 5,218.16/x
  3. Step 3: Cross multiply
    9,409.92x = 12,986.12 × 5,218.16
  4. Step 4: Simplify right side
    9,409.92x = 67,763,651.94
  5. Step 5: Solve for x
    x = 67,763,651.94/9,409.92
  6. Step 6: Final answer
    x = 7,201.30

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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.