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Finding the Fourth Proportional to 8,409.11, 11,604.88 and 5,224.16

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Solution

The fourth proportional to 8,409.11, 11,604.88 and 5,224.16 is: 7,209.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,409.11 : 11,604.88 = 5,224.16 : x
  2. Step 2: Convert to fraction form
    8,409.11/11,604.88 = 5,224.16/x
  3. Step 3: Cross multiply
    8,409.11x = 11,604.88 × 5,224.16
  4. Step 4: Simplify right side
    8,409.11x = 60,625,749.90
  5. Step 5: Solve for x
    x = 60,625,749.90/8,409.11
  6. Step 6: Final answer
    x = 7,209.53

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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.